The school that Jenny goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 14 adult tickets and 14 child tickets for a total of $322. The school took in $188 on the second day by selling 12 adult tickets and 1 child ticket. What is the price of each of one adult ticket and one child ticket?A. Adult Tickets: $17, Child Ticket: $12B. Adult Tickets: $15, Child Ticket: $8C. Adult Tickets: $9, Child Ticket: $3D. Adult Tickets: $24, Child Ticket: $13

Answers

Answer 1

The price of one adult ticket is $15 and the price of one child ticket is $8.

Two sets of equations can be derived from this question:

14a + 14c = 322 equation 1

12a + c = 188 equation 2

These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.

In order to determine the cost of the adult's ticket multiply equation 2 by 14

168a + 14c = 2632 equation 3

Subtract equation 1 from 3

2310 = 154a

Divide both sides by 154

a = $15

To determine the cost of the children's ticket substitute for a in equation 1

14(15) + 14c = 322

210 + 14c = 322

322 - 210 = 14c

112 = 14c

c = $8

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults


Related Questions

What is the value of a in the equation 3a + 4 = 10

Answers

Answer:

2

Step-by-step explanation:

10- 4 is 6 and 6 / 3 is 2

Answer:

a = 2

Step-by-step explanation:

3 + 4 − 4 = 10 − 4= a= 2

Pls give brainlist if this was helpful

A tray can hold 9 milk bottles. There are 9063 milk bottles in a dairy farm. After packing the milk bottles in the trays,10 trays are left empty. How many trays are there in total in the farm?

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Answer:

1017

Step-by-step explanation:

9063/9=1007

1007+10=1017

I NEED HELP ASAP PLZZZZ

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B. 30 soda cans

Step-by-step explanation:

Range = max number - min number = 40 - 10 = 30

t + 464 = 517. solve for t​

Answers

Answer:

The value of t is 53

Step-by-step explanation:

t + 464 = 517

t = 517 - 464

t = 53

Thus, The value of t is 53

-TheUnknownScientist

first to help gets marked brainliest. explain plsss

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Answer:

The answer is C=118

Step-by-step explanation:

I will mark you brainlist!

Bobby build a wooden rectangular sandbox with dimension of 3 1/4 by 5 1/2 he now wants to expand each side by 1/4 feet. What would be the new dimension of the sandbox?

Answers

3 1/2 and 5 3/4 ....

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAIN THING IF ITS CORRECT AND IT SAYS WRITE YOUR REASON AS A DECIMAL SO PWEASE DO THAT

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Answer:

0.244

Step-by-step explanation:

1.22÷5

Expand 1.22/5 by multiplying both numerator and the denominator by 100.

122/500

Reduce the fraction 122/500 to lowest terms by extracting and canceling out 2.

61/250

Convert to decimal form.

0.244

Find the area of the figure.
2 cm
3 cm
6 cm
12 cm

Answers

Answer:

66 cm^2

Step-by-step explanation:

12*6=72 cm^2 and to find the missing pience of the rectangle you multiply 3*2= 6 cm^2.

72 - 6 = 66

66 cm isshjwbwsvjabw

what expression is the sane as 1/2 x 5

Answers

Answer:

5 divided by 2

Step-by-step explanation:

1/2 * 5 = 5/2

5/2 = 5 divided by 2

The Monday after Thanksgiving is called Cyber Monday. Amazon is
offering deals on many popular items. The same drone helicopter
is normally sold for $179.99, but on Cyber Monday, Amazon will be
selling it for $125.99. What is the percent change on the drone. Round to the nearest percent

Answers

Answer:

the percentage change on the drone is 42.86%

Step-by-step explanation:

The computation of the percentage change is shown below:

Since the helicopter was sold for $179.99

But amazon would be selling it for $125.99

So, the percentage change would be

= (Sale value -  sale value by amazon) ÷ ( sale value by amazon) × 100

= ($179.99 - $125.99) ÷ ($125.99) × 100

= 42.86%

Hence, the percentage change on the drone is 42.86%

The Candle Company is designing a new cylindrical candle. They are looking at four different molds. Which mold will use the

least amount of wax?

Mold

A

B

Candle Mold Choices

Diameter

2 inches

2 inches

inches

inches

Height

7 inches

4 inches

3 inches

3 inches

C

D

3

4

Recall the formula V= 72.

Mold A

Mold B

Mold C

Mold D

Answers

Answer:

mold B

Step-by-step explanation:

The molds are of cylindrical shape. The volume of a cylinder is given by:

Volume = πr²h

where r is the radius and h is the height.

For mold A: diameter = 2 inches, hence radius = 1 inch. Height = 7 inches

volume = π(1²)7 = 7π in³

For mold B: diameter = 2 inches, hence radius = 1 inch. Height = 4 inches

volume = π(1²)4 = 4π in³

For mold C: diameter = 3 inches, hence radius = 1.5 inch. Height = 3 inches

volume = π(1.5²)3 = 6.75π in³

For mold C: diameter = 4 inches, hence radius = 1.5 inch. Height = 3 inches

volume = π(2²)3 = 12π in³

Therefore mold B has the smallest volume

Answer:

B

Step-by-step explanation:

find the value of x
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Answers

Answer: Id.k  sorry

Step-by-step explanation:

Step-by-step explanation:

x/4= -5-3

x/4= -8

x= -8 * 4

x= -32

A rental car agency charges $14 per day plus 12 cents per mile to rent a certain car. Another agency charges $19 per day plus 10 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?

Answers

Answer: The correct answer is 250 miles per day. I just completed this question myself and I got it correct

Step-by-step explanation:

Eric carved this solid out of wood.

Find the volume of the solid

Answers

Answer:

3,456

Step-by-step explanation:

Just did the question and got it correct.

Hope this helps ;)

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Answers

Answer:

50/3

Step-by-step explanation:

For x

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DDDDDDDDD I think I’m srry if I’m wrong

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Step-by-step explanation: b I think

I need help with this question, Please help!

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Answer:

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Step-by-step explanation:

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volume =area of base×height

If you answer this you're HOT!!!!!
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Answer:

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Step-by-step explanation:

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Answer: 3t12=15t this is what my tech told me

Step-by-step explanation:

Answer:

18

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these are vertical angles so they equal each other

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3x + 2 y = 4
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Answers

Answer:

You want to look for x? If yes then:

[tex]x=\frac{4}{3}-\frac{2y}{3}[/tex]

And this is for y

[tex]y=2-\frac{3x}{2}[/tex]

Can you help me please

Answers

Answer:

(-1,-4)

Explanation:

The vertex of a parabola is the point where the parabola crosses its axis of symmetry.

Find the equation of the line that passes through (5, 12) and has a slope of -6

Answers

y - 12 = -6 (x - 5)
y = -6x + 42

Puteti sa ma ajutati va rog

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Answer:

I read the title wrong, please remove my answer

Step-by-step explanation:

Solve the equation below:
(find x)

Answers

Answer:

X=-8

Step-by-step explanation:

3x-4=7×-4

3x-4=-28

3x=-28+4

3x=-24

x=-24/3

x=-8

Answer:

[tex]x =-8[/tex]

Step-by-step explanation:

Hello!

Remove the fraction by multiplying both sides by 7. Solve for x by isolating the variable.

Solve for x[tex]\frac{3x - 4}{7} = -4[/tex][tex]3x - 4 = -28[/tex][tex]3x = -24[/tex][tex]x = -8[/tex]

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Step-by-step explanation:

Answer:

10

Step-by-step explanation:

square of 8 and 6 then add .you find the square root of the answer

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Is there a photo to show us what the variables are?

Answer correctly with NO FILE (Or links) to get brainliest.

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the answer is D. 3x-1. hope this helps !

Write an equation for this graph

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Answer:

y = 3x

Step-by-step explanation:

m = (6-3)/(2-1) = 3/1 = 3

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Use the distributive property to expand (simplify) 12(a-5)​

Answers

Answer:

12a-60

Step-by-step explanation:

12(a-5)

=12a-12*5

Multiply 12 *5=60

=12a-60

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

[tex]\huge\boxed{\boxed{12a-60}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac

Where

a, b, and c can be either constants or variables

we distribute a by multiplying it times b and c, and simplify if necessary.

In this case, we should distribute 12:

12(a-5)

12 times a and 12 times (-5):

12a-60

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

At the start of a hike, a hiker was at an elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 feet per minute. a. Write an inequality that represents t, the number of minutes after the start of the hike, when the hiker’s elevation was higher than 5 feet above sea level.

Answers

Answer:

15t - 50 > 5

Step-by-step explanation:

Initial point = -50 ftClimbing rate = 15 ft / minTime = t

Required inequality:

15t - 50 > 5

Solution:

15t > 55t > 55/15t > 3 10/15 = 3 40/60 min = 3 min 40 seconds

Answer:

Solution given:

Initial point = -50 ft

Climbing rate = 15 ft/min

Time = t(let)

So Required inequality:

15t-50 > 5

adding 50 on both term

15t> 55

dividing both term by 15

t > 55/15

t> [tex] 3 \times \frac{10}{15} [/tex]=

[tex] 3 \times \frac{40}{60} [/tex]= 3 min 40seconds is your answer

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