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 174490This 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.
a.If the store sold 30 pairs of men shoes during the sale,how many pairs of womens shoes were sold? This question is from textbook algebra 1

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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.
:
a.If the store sold 30 pairs of men shoes during the sale,how many pairs of womens shoes were sold?
:
Just substitute 30 for m in the given equation and find w:
:
24(30) + 18w = 2880
720 + 18w = 2880
18w = 2880 - 720
18w = 2160
w = 2160%2F18
w = 120 prs of women's shoe were sold
:
:
Check solution in the original equation:
24(30) + 18(120) =
720 + 2160 = 2880