Jennifer went on a shopping spree, spending a total of $165 on a skirt, a sweater, and a pair of shoes. The cost of the sweater was 8/7 of the cost of the skirt. The shoes cost $11 more than the skirt. Find the cost of each item.

Question

Reggie

Mathematics

19 November, 21:29

Jennifer went on a shopping spree, spending a total of $165 on a skirt, a sweater, and a pair of shoes. The cost of the sweater was 8/7 of the cost of the skirt. The shoes cost $11 more than the skirt. Find the cost of each item.

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Answers (1)

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Ismael Kerr · Answer 1

X=skirt

y=sweater

z=shoes

x+y+z=165

y=8/7x

z=x+11

plug it in

x + (8/7x) + (x+11) = 165

2x+8/7x=154

22/7x=154

x=49

y=56

z=60

a skirt cost $49, a sweater cost $56, and a pair of shoes cost $60