Vanessa sold $2040 worth of vests and coats. She earned $312 less on the coats than the vests. Each coat is sold for $10 more than each vest. The number of coats sold was ³₇ of the number of vests sold.

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

(a)
Amount that Vanessa earned from the sales of the vests
= (2040 + 312) ÷ 2
= 2352 ÷ 2
= $1176 

(b)
Amount that Vanessa earned from the sales of the coats
= 1176 - 312
= $864

Number of sets of coats sold = 3  
Number of sets of vests sold = 7

Cost of 1 set of coats sold
= 864 ÷ 3
= $288

Cost of 1 set of vests sold
= 1176 ÷ 7
= $168

Amount that 1 set of coats was more than 1 set of vests 
= 288 - 168
= $120

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

Number of vests sold
= 7 x 12
= 84

Answer(s): (a) $1176 ; (b) 84