Question 174490
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 = {{{2160/18}}}
w = 120 prs of women's shoe were sold
:
:
Check solution in the original equation:
24(30) + 18(120) =
720 + 2160 = 2880