Question 174491
A shoe store makes $2880 during a one day sale. Men's shoes cost $24 per pair and womens shoes cost $18 per pair. Let m equal the number of pairs of mens shoes and w equal the number of pairs of womens shoes. The equation 24m+18w=2880 describes the store's income for the sale.
b.Can the store have sold exactly 150 pairs of womens shoes during the sale?Explain
No
Substitute 150 for w in the equations and find m
24m + 18(150) = 2880
24m + 2700 = 2880
24m = 2880 - 2700
m = {{{180/24}}}
m = 7.5, m has to be an integer, you can't sell a fraction of a pr of shoes