## Richard purchased air show tickets for 5 adults and 2 kids. The total cost is $167. The cost for a child is $4 less then the cost of an adul

Question

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## Answers ( )

Answer: an adult ticket costs $25 and a child ticket costs $21

Step-by-step explanation:

Let x represent the price of an adult ticket.

Let y represent the price of a child ticket.

Richard purchased air show tickets for 5 adults and 2 kids. The total cost is $167. This is expressed as

5x + 2y = 167- – – – – – – – – – -1

The cost for a child is $4 less then the cost of an adult ticket. This is expressed as

y = x – 4

Substituting y = x – 4 into equation 1, it becomes

5x + 2(x – 4) = 167

5x + 2x – 8 = 167

7x = 175

x = 175/7

x = 25

y = x – 4 = 25 – 4

y = 21

Answer:adult ticket – $25

child ticket – $21

Step-by-step explanation:if there are 5+2 tickets and it equals 167 in total then the equation is 5x+2y=167. and y=x-4 so the updated equation is 5x+2(x-4)=167

5x+2x-8=167

7x-8=167

7x=175

x=$25

one adult ticket is $25then y=x-4 and y is a child ticket. so y=25-4

y=$21

one child ticket costs $21