Question

A store sold 24 sweatshirts. Red ones cost $10.95 and blue ones cost $12.50. Total of $289.15 worth of sweatshirts were sold. How many of each color were sold?

Answer 1

17 blue and 7 red sweatshirts were sold

Explanation:

We set up a simultaneous equation and solve:

Let r represent the number of red sweatshirts and b represent blue ones.

The total sweatshirts is 24. This gives us:

`r+b=24`

Red ones cost $10.95

and blue ones cost $12.50

and the total is $289.15

This also gives the equation:

`10.95r+12.5b=289.15`

From the first equation we have:

`b=24-r`

We replace b in the second equation to get:

`10.95r+12.5(24-r)=289.15`

`10.95r+300-12.5r=289.15`

`10.95r-12.5r=289.15-300`

`-1.55r=-10.85`

`r=7`

This means that

b=24-7=17