Please Help with math word problem.

A community drama centre sells tickets to a play. They sell 216 tickets. Adult tickets cost $10.25 and students tickets cost $8. The total number of sales was $2117.25. How many students tickets were sold, how many adult tickets were sold?

Please show me how its done

Will make brainlist, thanks

Answers

Answer 1

Answer:

Adult Tickets: 173

Student Tickets: 43

Explanation:

To solve this problem, you'll need to set up a system of equations.Assume a = # of adult tickets soldAssume s = # of student tickets sold

2: a + s = 216; 1: 10.25a+ 8s= 2117.25

2: <<As the total number of tickets sold from both sides is equal to 216>>

1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>

Note that there are two ways to solve systems of equations (by elimnation and substitution), in this case I'll use elimnation as substitution requires one of the variables in one of the two equations to be isolated.

In this case, I'll elimnate a.

a + s = 216

10.25a + 8s = 2117.25

In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).

-10.25a -10.25s = -2214

10.25a + 8s = 2117.25

a cancels, and now you solve accordingly.

-2.25s/-2.25 = -96.75/-2.25

s = 43

You could solve for a using this same method, but it's easier to use the first formula <<a+s=216>> to find a.

a + 43 = 216

- 43 -43

a = 173


Related Questions

10. A cross-country skier moves from location A to location B to location C to location D. Each leg of the back-and-forth motion takes 1 minute to complete; the total time is 3 minutes. (The unit is meters.) a. What is the distance traveled by the skier during the three minutes of recreation

Answers

Complete question

10. A cross -country skier moves from location A to location B to location C to location D . Each leg of the back -and-forth motion takes 1 minute to complete ; the total time is 3 minutes . (The unit is meters .) West East t 0min t=2min t=3min t=1min 20 60 100 120 100 160 a. What is the distance traveled by the skier during the three minutes of recreation

Answer:

[tex]p=360m[/tex]

Step-by-step explanation:

From the question question we are told that

Location A => t=0 => 0

Location C => t=2 => 40

Location D => t=3 => 120

Location B => t=1 => 160

Total time 3min

Generally,the the total distance is given by[tex]bet^n t=0 - t=3[/tex]

[tex]p= |x_1 - x_0|+|x_2-x_1|+|x_3-x_2|[/tex]

[tex]p=|160-0|+|40-160|+|120-40|[/tex]

Therefore

[tex]p=160+120 +80[/tex]

[tex]p=360m[/tex]

Blue Street passes through the points (-2,6) and (3,-4) find the slope using the slope formula and then find the equation of the line using any method. Show your work.​

Answers

Answer:

Christianity

May god Bless you

Step-by-step explanation:

If a person weighs 130 Ibs and they lose 1/10 of their weight.How much weight was lost

Answers

Answer:

13 lbs

Step-by-step explanation:

to find 1/10 we divide by 10

This can be found by moving the decimal back by one

So 130/10=13

13 lbs were lost

The person lost 13 lbs of weight.

What is weight?

Weight is the measure of how heavy an object is. Weight is measured in standard customary units. The mass of an object is the amount of material it contains.

Given that, the person weight=130 lbs and he lost 1/10 of his weight.

We need to find how much weight was lost.

Now, weight lost [tex]=\frac{1}{10} \times 130=13[/tex] lbs.

Hence, the person lost 13 lbs of weight.

To learn more about the weight visit:

https://brainly.com/question/10069252.

#SPJ2

28 divided by x+4=11

Answers

Answer:

x = -16/11

Step-by-step explanation:

28/(x+4)=11

28=11(x+4)

28=11x+44

11x=-16

x=-16/11

Answer: x=4

Step-by-step explanation:

28 divided by x+4=11

28 divided by x=7

28/7=4

Consider the following problem: There are 722 identical plastic chips numbered 1 through 722 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 552

Answers

Answer:

Probability of reaching Chip number 552 = 1 / 722

Step-by-step explanation:

Given:

Total number of chips = 722

Chip number selected = 552

Computation:

Probability of reaching Chip number 552 = Number of chip selected / Total number of chips

Probability of reaching Chip number 552 = 1 / 722

Chandra uses 1/4 ounce of fish food to feed 5 goldfish. What is the unit rate in ounces of fish food per goldfish?

Answers

Answer:

1/20

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer:

c

Step-by-step explanation:

divide 1/5,280 and then multiply that by 6,600

Answer:

the answer is c

Step-by-step explanation:

multiply 6,600 by 1 and that will give you 6,600 again

after that you divide 6,600 and 5,280 that will get you 1.25

if you think I'm wrong just do it on the calculator it will give you 1.25

have a nice day!!

{Whole numbers up to 50 divisible by 5}

Answers

Answer:

5,10,15,20,25,30,35,40,45,50

Step-by-step explanation:

Answer:

150

Step-by-step explanationtion

jk i just want my points

Two lines are intersecting. What is the value of x?
Write an equation that can be used to solve for x. Look at pic

Answers

Answer:

on the same question

help us

Find the value of x.
4x + 5
2x + 21, smby help me wit dis pls

Answers

Answer: x = 8

Step-by-step explanation:

4x + 5 = 2x + 21

4x + 5 - 2x = -2x + 2x +21 (Subtract 2x from both sides)

2x + 5 = 21

2x + 5 - 5 = 21 - 5 (Subtract 5 from both sides)

2x = 16

2x/2 = 16/2 (Divide both sides by 2)

x = 8

The function f(x) varies inversely with x and f(x)=0.5 when x = 0.15.
What is f(x) when x = 2.5?

Answers

Answer:

0.03

Step-by-step explanation:

Standard equation of inverse variation:

y = k/x

In function notation it is

f(x) = k/x

We are given f(0.15) = 0.5

0.5 = k/0.15

k = 0.5 * 0.15

k = 0.075

The function is

f(x) = 0.075/x

For x = 2.5,

f(2.5) = 0.075/2.5

f(2.5) = 0.03

Answer: 0.03

boris has 10 pairs of jeans 15 shirts and 7 sweaters in his closet right the ratio of sweaters to pairs of jeans using a colon

Answers

Answer:

7:10 or 3:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

7:10 h

is 944544 divisible by 10

Answers

Yes and it’s 94454.4

There were 27 boxes of tea in the tea house. Each box weighed 18 kg. After selling 12 boxes, the shopkeeper packed the remaining tea into bags of 9 kg each. How many bags of tea can be packed?

Answers

Answer:

30 boxes of tea

Step-by-step explanation:

27 (overall tea boxes) - 12 (boxes sold) = 15

15 (leftover boxes) x 18 (kg of each box) = 270

270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags

Katie Made 10 times as much money in one hour selling lemonade than she did selling hotdogs. She made $220 in one hour selling lemonade. How much money did she make selling hotdogs?

Answers

Answer:

$22

Step-by-step explanation:

220/10=22

Double check work:

22*10=220

Hope this helps have a great day :)

PLS ANSWER THIS ASAP THANK YOU AND I WILL GIVE YOU THANKS

Answers

Should be D. 2x65=130-20=110

Choose Yes or No to tell if the decimal 0.43 will make each equation true.

103 × □ = 430
Choose...

101 × □ = 4.3
Choose...

104 × □ = 43,000
Choose...

102 × □ = 43
Choose...

Answers

Answer:

None will .

Step-by-step explanation:

103 × 0.43 = 44.29

101 × 0.43 = 43.43

104 × 0.43 = 44.72

102 × 0.43 = 48.86

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)? (–1 + i) + (21 + 5i) + 0 –1 + (i + 21) + 5i (–1 + 21) + (i + 5i) –(1 – i) + (21 + 5i)

Answers

Answer:

i think the answer is C, (-1 + 21) (i + 5i)

Step-by-step explanation:

i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!

The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is, (–1 + i) + (21 + 5i)

We have to find the expression that demonstrates the use of the commutative property of addition

According to the commutative property of addition, altering the order of addends has no impact on the sum.

Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.

Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ6

Value of x in the equation 2(x+3)=4(x-1)?

Answers

Answer:

x = 5

Step-by-step explanation:

In this question, you would solve for x.

Solve:

2(x + 3) = 4(x - 1)

Use the distributive property.

2x + 6 = 4x - 4

Subtract 4x from both sides.

-2x + 6 = -4

Subtract 6 from both sides.

-2x = -10

Divide both sides by -2

x = 5

The value of x is 5.

can you find the value x in the f figure​

Answers

Answer:

[tex]x =[/tex] [tex]16\frac{2}{11}[/tex]

Step-by-step explanation:

According to the image, those are verticle angles, so I came up with this equation that can help me solve this problem:

5x+12+6x-10=180

11x+2=180

11x=178

x=[tex]16\frac{2}{11}[/tex]

Pls help urgently extra points and mark brainlist

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

3 one 8 in a row of 8

Step-by-step explanation:

pls answer correctly dont troll!!

Answers

Answer:

Yes

Step-by-step explanation:

To form a triangle : The sum of any two side lengths must be bigger than then the third side length and their difference smaller than the third side length.

19.6 + 1.6 > 18.7

19.6 - 1.6 < 18.7 and so on.

Which linear equation best describes the relationship between x and y?

Answers

Answer:

C

Step-by-step explanation:

answer b ; 150=10x20 - 50

I need number 7 and 8 answered

Answers

The first one is the second option and the second one is the second option

A home-improvement store sold blinds for $35. A customer signed up for a free membership card and received a 7% discount off the price. Sales tax of 7% was applied after the discount. What was the final price of the blinds?

Answers

Answer:35

Step-by-step explanation:

35x93/100=32.55

32.55x107/100=35

please help homework. ignore the green that's just pre algebra above ​

Answers

(6x + 5) - (8x - 3) would be the expression but then simplify it.

When it's simplified you get -2x + 8

Therefore the answer will be -2x + 8.

Combine Like Terms for this expression.
8r - 9 - 2r-1

Answers

Answer:

Your answer would be- 8-6r

Step-by-step explanation:

  You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!

          JOKE TIME!

Why did the gym close down? It just didn't work out. *Nods head. Very sad.

The radius of a circle is 16.3 millimeters

Answers

Answer:

I think the equation is C=r/2 but I haven't done this math in a while

Please help me!!!!!!

Answers

Answer:

The bubble on the left should be 0.01.  The bubbles on the right should be: (top to bottom) 7, 0.1, 0.07, 0.004.

Step-by-step explanation:

You're just supposed to break the decimal into parts.  It like breaking 178 into hundreds, tens, and ones (100 + 70 + 8)

10 points
What is the value of x in the figure
below?
(4x)
A.
x = 18
B. X= 22
C.
x = 30
D. x = 45
Pls help

Answers

Answer:

A

Step-by-step explanation:

I hope this helps and sorry if I'm wrong!

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