Question

An office manager reported that he spent $350 on gifts for employees. He said that $240 was spent on clothing with each man receiving a $20 T-shirt and each woman receiving a $40 sweatshirt. He said that $110 was spent on desk accessories with each man receiving a $5 calendar and each woman receiving a $15 stapler. If m equals the number of men and wequals the number of women, the system of equations that represents the expenses is as follows:

m+2w=12
m+3w=22

Answer 1

So I assume we are figuring out the number of men and women here, so:

m + 2w = 12

m = 12 - 2w

12 - 2w + 3w = 22

w = 10

m + 2w = 12

m + 2(10) = 12

m + 20 = 12

m = -8