Question

3. Ron Co. sold sweatshirts for $20 and baseball caps for $10. A total of 154 sweatshirts and baseball caps were sold for total sales of $2,860. How many of each did Ron Co. sell? Check your answer.

Answer 1

132 = x sweatshirts, 22 = y baseball caps
total merchandise sold: 154

x + y = 15420 x + 10 y = 2,86020(132) + 10(22) = 2,8602,640 + 220 = 2,860

x + y = 154132 + 22 =154

-2x - y = 286-2(132) - 22 = -286

-x = -132-132 = -132

132 + y = 154132 + 22 =154

Answer 2

132 sweatshirts, 22 baseball caps.

1) Set up system of equations like:
x+y=154
20x+10y=2860
2) Solve
x+y=154
-2x-y=-286
-x=-132
x=132
132+y=154
y=22
3) Substitute answers into variables and check.