Q:

One month Yoko rented 3 movies and 5 video games for a total of $40. The next month she rented 9 movies and 7 video games for a total of $74. Find the rental cost for each movie and each video game.

Accepted Solution

A:
Answer:movie: $3.75video game: $5.75Step-by-step explanation:Two equations in two unknowns can be written:   3m +5v = 40   9m +7v = 74These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to ax +by = cdx +ey = fis given by ...∆ = bd -eax = (bf -ec)/∆y = (cd -fa)/∆For the numbers above,∆ = 5·9 -7·3 = 24m = (5·74 -7·40)/24 = 90/24 = 3.75v = (40·9 -74·3)/24 = 138/24 = 5.75The rental cost for each movie is $3.75; for each video game, it is $5.75.___The attached graph shows a graphing calculator solution to these equations.