Question

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.

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