Question

Devon purchased tickets to an air show for 7 adults and 2 children. The total cost was $174 . The cost of a child's ticket was $3 less than the cost of an adult's ticket. Find the price of an adult's ticket and a child's ticket.

. adult's ticket: $20; child's ticket: $17
b. adult's ticket: $19; child's ticket: $16
c. adult's ticket: $21; child's ticket: $18
d. adult's ticket: $22; child's ticket: $19

Answer 1

should have a template for this problem. i have seen it at least 12 times

Answer 2

answer is a
20*7+ 2*17=174

Answer 3

let price of each adult's ticket be x and of each child's ticket be y:
from your conditions,
7x+2y=174 -i
and y=x-3 -ii
now solve eqn i and ii

Answer 4

substituting eqn ii in eqn i
7x+2(x-3)=174
7x+2x-6=174
9x=180
x=20

from eqn ii
y=x-3
y=17

therefore price of adult's ticket is $20 and that of a child is $17