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.

[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

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eudora eudora · Answer 2 · 2019-09-09T22:03:19+02:00

Answer:

Aria played 2 games and went on 7 rides.

Step-by-step 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 = [tex]\frac{17}{8.5}[/tex]

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.