Aria is going to a carnival that has games and rides. Each game costs $3.50 and each ride costs $5. Aria spent $42 altogether at the carnival and the number of rides she went on is 5 more than the number of games she played.
Accepted Solution
A:
[tex]Let \: x \: be \: the \: number \: of \: games \: she \: played\Rightarrow the \: number \: of \: rides \: she \: went: x+5 \\ We \: have \: an \: equation:3.5x + 5(x + 5) = 42 \\ \Leftrightarrow 3.5x + 5x + 25 = 42\Leftrightarrow 8.5x = 17\Leftrightarrow x = 2 \Leftrightarrow x + 5 = 2 + 5 = 7\\ \Rightarrow She \: played \: 2 \: games \: and \: went \: on \: 7 \: rides[/tex]