At the movie theater the prince on 1 adult ticket and 4 child tickets is $44 the price of 5 adults tickets and 2 child tickets i

Question

3 years ago

10

s 76 what is the ticket price for each ticket math question

1 answer:

nydimaria [60] · Answer 1 · 2022-10-05T12:13:12+03:00

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

x+4y=44 Eqn 1

5x+2y=76 Eqn 2

Multiplying Eqn 1 by 5

$5(x+4y=44)\\5x+20y=220\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(5x+20y)-(5x+2y)=220-76\\5x+20y-5x-2y=144\\18y=144$

Dividing both sides by 18

$\frac{18y}{18}=\frac{144}{18}\\y=8$

Putting y=8 in Eqn 1

$x+4(8)=44\\x+32=44\\x=44-32\\x=12$

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

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