+73 Sabrina and Raj go together to a local video store. Sabrina rents two movies and three games for a total cost of $24.30. Raj rents three movies and one game for a total cost of $18.25. How much does it cost to rent one movie? How much does it cost to rent one game?
Let the price of a movie = M
Let the price of a game = G
2M + 3G =24.30...............(1)
3M + G =18.25...............(2)
Use substitution:
G = $5.20 - price of 1 game.
M = $4.35 - price of 1 movie.
+4622 You can also use elimination:
Movies=m, Games=g
So, 2m+3g=24.30
3m+1g=18.25
Find the LCM of 3 and 2, which is 6.
So, 6m+9g=72.90
6m+2g=36.5
Canceling both 6m's, we have:
7g=36.4
g=\(\boxed{5.2}\)
m=4.35
But, since we're asking for the rent of one game, the answer is \(\boxed{5.2}\)
