math homework help

Question

The 'I will Fleece you' Company, LLC sold 31 neck warmers. Tiger fleece neck warmers sold for $10.25 each and fluffy wool ones sold for $7.70 each. In all, $274.40 was taken in for the neck warmers. How many of each type were sold?

Answer 1

t+f = 31

10.25t + 7.7f = 274.40

7.7t + 7.7f = 7.7(31) = 238.7

subtract above 2 equations to eliminate one variable

10.25t -7.7t = 274.4-238.7

2.55t = 35.7

t = 35.7/2.55 = 14 Tiger warmers

f = 31-14 = 17 fluffy warmers

10.25(14) + 7.7(17)

=143.5+130.9

=274.4