Question

question 9 (multiple choice worth 6 points) (06.01r mc) brianna went to a carnival. she played 5 games and rode 6 rides. justin went to the same carnival and played 7 games and rode 8 rides. if brianna paid $11.75 and justin paid $16.15, how much did 1 game cost to play? $0.50 $1.45 $1.25 $1.50

Explanation:

Step1: Define variables

Let $g$ = cost of 1 game, $r$ = cost of 1 ride.

Step2: Set up system of equations

For Brianna: $5g + 6r = 11.75$
For Justin: $7g + 8r = 16.15$

Step3: Eliminate $r$ variable

Multiply Brianna's equation by 4: $20g + 24r = 47$
Multiply Justin's equation by 3: $21g + 24r = 48.45$

Step4: Subtract equations

$(21g + 24r) - (20g + 24r) = 48.45 - 47$
$g = 1.45$

Answer:

$1.45$