Answer: $2/child and $4/adult
Step-by-step explanation:
The total fare is $14 for 2 adults and 3 children
x is the child's fare
y is the adults fare
We can say:
1) 3x + 2y = $14
2) We are told that x = (1/2)y [each child's fare is 1/2 each adult's fare]
3) use (2) in (1)
3x + 2y = $14
3(1/2)y + 2y = $14
(3/2)y + 2y = $14
(7/2)y = $14
y = ($14)*(2/7)
y = $4/adult
x = (1/2)y; x = (1/2)(4)
x = $2/child
Check: Does 3x + 2y = $14 when x = $2/child and y = $4/adult?
3x + 2y = $14
3($2/child) + 2($4/adult) = $14
$6 + $8 = $14 YES
