Solve a problem of your own!
Download the Studdy App!

Math

Math Snap

PROBLEM

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

STEP 1

Assumptions1. Each game costs .50.Eachridecosts.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 gg represent the number of games Stella played and rr represent the number of rides Stella went on.

STEP 3

We know that Stella spent a total of 52.50atthecarnival.Thistotalcostwouldbethesumofthecostofthegamesandthecostoftherides.Wecanexpressthisasanequation52.50 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 equation2.50g+r=52.502.50g +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 equationr=2gr =2g

SOLUTION

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{2.50g+4r=52.50r=2g\begin{cases}2.50g +4r =52.50 \\ r =2g\end{cases}

Was this helpful?
banner

Start understanding anything

Get started now for free.

OverviewParentsContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord