One day a store sold 35 sweatshirts. White ones cost $9.95 and yellow cost $12.50. In all, $389.05 worth of sweatshirts were sold. How many of each color were sold?

How many white sweatshirt were sold?
How many yellow sweatshirt were sold?

I can not figure out how to do this problem.

1 answer

Write equations for the total number sold and the total sales dollars. This will let you solve for the two unknown amounts sold, W and Y.

W + Y = 35
9.95 W + 12.50 Y = 389.05
Substitute 35-Y for W in the second equation and solve for Y.

9.95 (35 - Y) + 12.50 Y = 389.05

2.55 Y = 389.05 - 348.25 = 40.80
Y = ?