One day a store sold 30 sweatshirts. White ones cost $11.95 and yellow ones cost $12.50. In all, $364.00 worth of sweatshirts were sold. How many of each color were sold?

Question

Kennedy Adams · Accepted Answer

There were 10 yellow and 20 white sweatshirts sold by the store.

Let's call the white sweatshirts #w# and the yellow ones #y#. Then we can say: #w + y = 30# and #11.95w + 12.50y = 364# Solve the first equation for #w# while keeping the equation balanced: #w + y - y= 30 - y# #w = 30 - y# Substitute #30 - y# into the second equation for #w# and solve for #y# while keeping the equation balanced: #11.95(30 - y) + 12.50y = 364. #358.5 - 11.95y + 12.50y = 364# #358.5 + 0.55y = 364# #358.5 - 0.55y - 358.5 = 364 - 358.5# #0.55y = 5.5# #(0.55y)/0.55 = 5.5/0.55# #y = 10# Substitute #10# for #y# in the result of the first equation and solve for #w# #w = 30 - 10# #w = 20#

Eva Adamson · Answer

undefined Let $ x $ represent the number of white sweatshirts sold and $ y $ represent the number of yellow sweatshirts sold. The total number of sweatshirts sold can be expressed as $ x + y = 30 $. The total value of the sweatshirts sold can be expressed as $ 11.95x + 12.50y = 364.00 $. Solving these two equations simultaneously will give the values of $ x $ and $ y $.