Bryce had a $25 gift card to use on songs and games at an online media store. Songs cost $2 each and games cost $5 each. Bryce spent all the money on the gift card to download 8 items. How many games did he purchase? Let s represent the number of songs and g represent the number of games.

Question

Which equation represents the number of games and songs Bryce purchased?

Which equation represents the amount Bryce spent on games and songs?

Answer 1

Let's define the variables as follows:

• Let \( s \) represent the number of songs purchased.
• Let \( g \) represent the number of games purchased.

Equation for the number of items purchased

Since Bryce downloaded a total of 8 items (songs and games), we can formulate the first equation as:

\[ s + g = 8 \]

Equation for the amount spent

Each song costs $2, and each game costs $5. Since Bryce spent all $25 on these items, we can formulate the second equation as:

\[ 2s + 5g = 25 \]

Summary of equations

1. The equation representing the number of games and songs Bryce purchased is: \[ s + g = 8 \]

2. The equation representing the amount Bryce spent on games and songs is: \[ 2s + 5g = 25 \]