emraschke16 emraschke16

16-03-2015
Mathematics

Answered

A new online store charges all customers one price to download any song and another price to download any game. Jenna paid $20.50 to download eight songs and three games, and Dwayne paid $22.50 to download four songs and five games. How much does the store charge to download each song and game? Use x to represent the cost of each song and y to represent the cost of each game.

Answer :

Hippalectryon Hippalectryon

16-03-2015

22.50=4x+5y
20.5=8x+3y

hence 4x=22.5-5y thus 20.5=2(22.5-5y)+3y => y=7/2=3.5 => x=5

The answer is $3.5/song, $5/game.

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