## 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

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 adult ticket. Find the price of an adult ticket and a child ticket

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2 weeks 2021-10-07T00:55:36+00:00 2 Answers 0

1. 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

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