Gillian sold $4488 worth of sweaters and jackets. She earned $48 less on the jackets than the sweaters. Each jacket is sold for $10 more than each sweater. The number of jackets sold was ⁵₇ of the number of sweaters sold.

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

(a)
Amount that Gillian earned from the sales of the sweaters
= (4488 + 48) ÷ 2
= 4536 ÷ 2
= $2268 

(b)
Amount that Gillian earned from the sales of the jackets
= 2268 - 48
= $2220

Number of sets of jackets sold = 5  
Number of sets of sweaters sold = 7

Cost of 1 set of jackets sold
= 2220 ÷ 5
= $444

Cost of 1 set of sweaters sold
= 2268 ÷ 7
= $324

Amount that 1 set of jackets was more than 1 set of sweaters 
= 444 - 324
= $120

Number of items in 1 set
= 120 ÷ 10
= 12

Number of sweaters sold
= 7 x 12
= 84

Answer(s): (a) $2268 ; (b) 84