Braden about three adult tickets and one child ticket at the movie theater and paid $32. Karen bought seven adult tickets and tw

Question

3 years ago

12

o child tickets and paid $72. Find the cost for one child ticket

1 answer:

Rama09 [41] · Answer 1 · 2021-11-26T05:25:14+03:00

The cost of one adult ticket is $8 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;

3x+y=32 Eqn 1

7x+2y=72 Eqn 2

Multiplying Eqn 1 by 2

$2(3x+y=32)\\6x+2y=64\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(7x+2y)-(6x+2y)=72-64\\7x+2y-6x-2y=8\\x=8$

Putting x=8 in Eqn 1

$3(8)+y=32\\24+y=32\\y=32-24\\y=8$

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

Keywords: linear equation, elimination method

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