Rachel sold $1176 worth of jackets and sweaters. She earned $24 less on the sweaters than the jackets. Each sweater is sold for $6 more than each jacket. The number of sweaters sold was ³₅ of the number of jackets sold.

1. How much did Rachel earn from the sales of the jackets?
2. How many sweaters were sold?

(a)
Amount that Rachel earned from the sales of the jackets
= (1176 + 24) ÷ 2
= 1200 ÷ 2
= $600 

(b)
Amount that Rachel earned from the sales of the sweaters
= 600 - 24
= $576

Number of sets of sweaters sold = 3  
Number of sets of jackets sold = 5

Cost of 1 set of sweaters sold
= 576 ÷ 3
= $192

Cost of 1 set of jackets sold
= 600 ÷ 5
= $120

Amount that 1 set of sweaters was more than 1 set of jackets 
= 192 - 120
= $72

Number of items in 1 set
= 72 ÷ 6
= 12

Number of sweaters sold
= 3 x 12
= 36

Answer(s): (a) $600 ; (b) 36