One day a store sold 36 sweatshirts. White ones cost​ $10.95 and yellow ones cost $11.50. In​ all, ​$404.65 worth of sweatshirts were sold. How many of each color were​ sold? The store sold white sweatshirts

17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

Step-by-step explanation:

Let w represent the number of white sweatshirts sold and y represent the number of yellow sweatshirts sold.

We can write a system of equations to represent the situation.

Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:

And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:

Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract w from both sides:

Substitute this into the second:

Distribute:

Simplify:

Divide both sides by -0.55:

So, 17 white sweatshirts were sold.

Using the modified equation, substitute:

Therefore, 17 white sweatshirts were sold and 19 yellow sweatshirts were sold.