Question

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.

Answer 1

`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</p><p>`

Answer 2

Aria played 2 games and went on 7 rides.

Explanation:

Aria has $42 to spend in a carnival that has games and rides.

Each game costs $3.50 and each ride costs $5.

Let the number of games she played = x

Then the cots of games she played = $3.5x

She went on is 5 more than the number of games she played

so the number of rides she went on = 5 + x

Now the equation will be

3.5x + 5(x + 5) = 42

3.5x + 5x + 25 = 42

8.5x + 25 = 42

8.5x = 42 - 25

8.5x = 17

x =
`(17)/(8.5)`

x = 2

2 Games that she played

Now as per statement "she went on 5 more than the number of games she played"

number of rides = 5 + 2 = 7

Aria played 2 games and went on 7 rides.