Xylia sold $964 worth of sweaters and blazers. She earned $36 less on the blazers than the sweaters. Each blazer is sold for $4 more than each sweater. The number of blazers sold was ⁴₅ of the number of sweaters sold.

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

(a)
Amount that Xylia earned from the sales of the sweaters
= (964 + 36) ÷ 2
= 1000 ÷ 2
= $500 

(b)
Amount that Xylia earned from the sales of the blazers
= 500 - 36
= $464

Number of sets of blazers sold = 4  
Number of sets of sweaters sold = 5

Cost of 1 set of blazers sold
= 464 ÷ 4
= $116

Cost of 1 set of sweaters sold
= 500 ÷ 5
= $100

Amount that 1 set of blazers was more than 1 set of sweaters 
= 116 - 100
= $16

Number of items in 1 set
= 16 ÷ 4
= 4

Number of sweaters sold
= 5 x 4
= 20

Answer(s): (a) $500 ; (b) 20