Josh and Racquel sold cookies and brownies at the math club bake sale. The cookies cost $0.47 each, and the brownies cost $0.60 each. They sold a total of 603 items (cookies and brownies) and raised $323.84 Write a system of equations and determine the number of cookies sold and the number of brownies sold.

Question

Could you please show the work on how to do this?

Answer 1

just put the facts into symbols, one item at a time:

cost of c cookies = .47c
cost of b brownies = .60b
c+b = 603
.47c + .60b = 323.84

now, you know that c = 603-b, so

.47(603-b) + .60b = 323.84
283.41 - .47b + .60b = 323.84
.13b = 40.43
b = 311
c = 603-311 = 292