Penelope sold $3476 worth of vests and sweaters. She earned $66 less on the sweaters than the vests. Each sweater is sold for $8 more than each vest. The number of sweaters sold was ⁵₇ of the number of vests sold.

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

(a)
Amount that Penelope earned from the sales of the vests
= (3476 + 66) ÷ 2
= 3542 ÷ 2
= $1771 

(b)
Amount that Penelope earned from the sales of the sweaters
= 1771 - 66
= $1705

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

Cost of 1 set of sweaters sold
= 1705 ÷ 5
= $341

Cost of 1 set of vests sold
= 1771 ÷ 7
= $253

Amount that 1 set of sweaters was more than 1 set of vests 
= 341 - 253
= $88

Number of items in 1 set
= 88 ÷ 8
= 11

Number of sweaters sold
= 5 x 11
= 55

Answer(s): (a) $1771 ; (b) 55