QuestionStella spent \$52.50 on games at \$2.50 each and rides at \$4, with rides being twice the games. Define variables and write equations.

Studdy Solution

STEP 1

Assumptions1. Each game costs $.50. Each ride costs$ 43. Stella spent $52.50 altogether at the carnival4. The number of rides Stella went on is twice the number of games she played

STEP 2

Let's define our variables. Let $g$ represent the number of games Stella played and $r$ represent the number of rides Stella went on.

STEP 3

We know that Stella spent a total of $52.50 at the carnival. This total cost would be the sum of the cost of the games and the cost of the rides. We can express this as an equation$ $2.50g +r =52.50$ $

STEP 4

We also know that the number of rides Stella went on is twice the number of games she played. We can express this as a second equation $r =2g$

STEP 5

So, the system of equations that can be used to determine the number of games Stella played and the number of rides Stella went on is $\begin{cases}2.50g +4r =52.50 \\ r =2g\end{cases}$

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