SOLUTION: one month Raina rented 2 movies and 3 video games for a total of $24. The next month she rented 6 movies and 5 video games for a total of $50. find the total cost for each movie an
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-> SOLUTION: one month Raina rented 2 movies and 3 video games for a total of $24. The next month she rented 6 movies and 5 video games for a total of $50. find the total cost for each movie an
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Question 1180009: one month Raina rented 2 movies and 3 video games for a total of $24. The next month she rented 6 movies and 5 video games for a total of $50. find the total cost for each movie and video game. Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39618) (Show Source):
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one month Raina rented 2 movies and 3 video games for a total of $24.
The next month she rented 6 movies and 5 video games for a total of $50.
find the total cost for each movie and video game.
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Write equations as you read the problem
2M + 3V = 24 (1)
6M + 5V = 50 (2)
Multiply first equation by 3 (both sides). Keep the second equation as is
6M + 9V = 72 (1')
6M + 5V = 50 (2')
From equation (1'), subtract equation(2')
4V = 72 - 50 = 22
V = 22/4 = 5.50.
Then from equation (1)
2M + 3*5.50 = 24
2M = 24 - 17.50 = 6.50
M = 6.50/2 = 3.25.
ANSWER. $3.25 for movie; $5.50 for video-game.
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