Diana sold $1892 worth of sweaters and dresses. She earned $44 less on the dresses than the sweaters. Each dress is sold for $6 more than each sweater. The number of dresses sold was ³₄ of the number of sweaters sold.

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

(a)
Amount that Diana earned from the sales of the sweaters
= (1892 + 44) ÷ 2
= 1936 ÷ 2
= $968 

(b)
Amount that Diana earned from the sales of the dresses
= 968 - 44
= $924

Number of sets of dresses sold = 3  
Number of sets of sweaters sold = 4

Cost of 1 set of dresses sold
= 924 ÷ 3
= $308

Cost of 1 set of sweaters sold
= 968 ÷ 4
= $242

Amount that 1 set of dresses was more than 1 set of sweaters 
= 308 - 242
= $66

Number of items in 1 set
= 66 ÷ 6
= 11

Number of sweaters sold
= 4 x 11
= 44

Answer(s): (a) $968 ; (b) 44