Question

One day a store sold 26 sweatshirts. White ones cost $9.95 and yellow ones cost $12.50. In all, $296.95 worth of sweatshirts were sold. How many of each color were sold?

Answer 1

There were 11 white sweatshirts sold and 15 yellow sweatshirts sold.

Explanation:

First, let `w` represent the number of white sweatshirts sold and `y` represent the number of yellow sweatshirts sold. We can then write the following two equations:

`w + y = 26`

`9.95w + 12.50y = 296.95`

First sold the first equation for `w`:

`w + y - y = 26 - y`

`w = 26 - y`

Next, substitute `26-y` for `w` in the second equation and solve for `y`

`9.95(26 - y) + 12.50y = 296.95`

`258.70 - 9.95y + 12.50y = 296.95`

`258.70 + 2.55y = 296.95`

`258.70 + 2.55y - 258.70 = 296.95 - 258.70`

`2.55y = 38.25`

`(2.55y)/2.55 = 38.25/2.55`

`y = 15`

Finally, substitute `15` for `y` in the solution to the first equation and calculate `w`:

`w = 26 - 15`

`w = 11`