Hazel sold $628 worth of jackets and sweaters. She earned $100 less on the sweaters than the jackets. Each sweater is sold for $9 more than each jacket. The number of sweaters sold was ³₇ of the number of jackets sold.

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

(a)
Amount that Hazel earned from the sales of the jackets
= (628 + 100) ÷ 2
= 728 ÷ 2
= $364 

(b)
Amount that Hazel earned from the sales of the sweaters
= 364 - 100
= $264

Number of sets of sweaters sold = 3  
Number of sets of jackets sold = 7

Cost of 1 set of sweaters sold
= 264 ÷ 3
= $88

Cost of 1 set of jackets sold
= 364 ÷ 7
= $52

Amount that 1 set of sweaters was more than 1 set of jackets 
= 88 - 52
= $36

Number of items in 1 set
= 36 ÷ 9
= 4

Number of sweaters sold
= 3 x 4
= 12

Answer(s): (a) $364 ; (b) 12