SOLUTION: 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 numb

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Question 174491This question is from textbook algebra 1
: 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 This question is from textbook algebra 1

Found 2 solutions by ankor@dixie-net.com, checkley77:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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%2F24
m = 7.5, m has to be an integer, you can't sell a fraction of a pr of shoes

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
24m+18w=2880
w=150
24m+18*150=2880
24m+2700=2880
24m=2880-2700
24m=180
m=180/24
m=7.5 men's shoes sold. Not very good sales people selling 1/2 of a pair.
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Answer is NO for the 150 pair of women's shoes sold.