172k views
3 votes
Which equations represents the number of games and songs Bryce purchased?

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

1 Answer

5 votes

The equation that represents the number of games and songs purchased by Bryce is: s + g = 8 .The equation that represents the amount Bryce spent on games and songs is: 2s + 5g = 25 .

The equation that represents the number of games and songs purchased by Bryce is:

s + g = 8

where:

s is the number of songs

g is the number of games

This equation simply states that the total number of items purchased, represented by s + g, is equal to 8. We can use this equation to solve for any of the variables, given the values of the others.

The equation that represents the amount Bryce spent on games and songs is:

2s + 5g = 25

where:

2s is the cost of the songs

5g is the cost of the games

This equation simply states that the total amount spent, represented by 2s + 5g, is equal to $25, the value of the gift card.

We can use this equation to solve for any of the variables, given the values of the others.

Example

Suppose we know that Bryce purchased 5 songs.

We can use the equation s + g = 8 to solve for the number of games he purchased:

s + g = 8

5 + g = 8

g = 8 - 5

g = 3

Therefore, Bryce purchased 3 games.

Alternatively, we could use the equation 2s + 5g = 25 to solve for the number of games he purchased:

2s + 5g = 25

2 * 5 + 5g = 25

10 + 5g = 25

5g = 25 - 10

5g = 15

g = 15 / 5

g = 3

Therefore, Bryce purchased 3 games.

Question

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. Which equation represents the number of games and songs Bryce purchased? Which equation represents the amount Bryce spent on games and songs?

User Ron Rothman
by
8.0k points