At Video Shack, movie rentals cost $3.99 each. The cost of renting three movies and one video game is $0.11 less than the cost of renting five video games. How much does renting a video game cost?
Answer (3)
x − cos t o f re n t in g m o v i es = $3 , 99 y − cos t o f re n t in g v i d eo g am e 3 x + y + $0 , 11 = 5 y 3 ⋅ 3 , 99 + 0 , 11 = 5 y 11 , 97 + 0 , 11 = 5 y 12 , 08 = 5 y / : 5 y = $2 , 416 A n s w er : R e n t in g a v i d eo g am e cos t $2 , 416.
Answer:
$3.02
Step-by-step explanation:
M = movie rental
M = 3.99
V = video game
3M + V = 5V - 0.11
Get the integer on one side and the terms on the other
3M + V - 5V = -0.11
3M - 4V = -0.11
Substitute 3.99 for M
3(3.99) - 4V = -0.11
11.97 - 4V = -0.11
Get the integers on one side and the terms on the other
11.97 + 0.11 - 4V = 0
11.97 + 0.11 = 4V
12.08 = 4V
12.08/4 = V
V = 3.02
The cost of renting a video game is $3.02. This is determined using the equation that relates the costs of renting movies and video games based on the given conditions. After substituting the known cost of movie rentals into the equation, the value for the video game rental cost is found.
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