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 $25
then y=x-4 and y is a child ticket. so y=25-4
y=$21
one child ticket costs $21
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
