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 174492This 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.
c.the store sold one more pair of mens shoes than womens shoes during the sale.How many pairs of each were sold? This question is from textbook algebra 1

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
24m+18w=2880
m=w+1
24(w+1)+18w=2880
24w+24+18w=2880
42w=2880-24
42w=2856
w=2856/42
w=68 number of women's shoes sold.
m=68+1=69 number of men's shoes sold.
Proof:
24*69+18*68=2880
1656+1224=2880
2880=2880