Jean sold $3864 worth of vests and blouses. She earned $504 less on the blouses than the vests. Each blouse is sold for $9 more than each vest. The number of blouses sold was ⁴₇ of the number of vests sold.

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

(a)
Amount that Jean earned from the sales of the vests
= (3864 + 504) ÷ 2
= 4368 ÷ 2
= $2184 

(b)
Amount that Jean earned from the sales of the blouses
= 2184 - 504
= $1680

Number of sets of blouses sold = 4  
Number of sets of vests sold = 7

Cost of 1 set of blouses sold
= 1680 ÷ 4
= $420

Cost of 1 set of vests sold
= 2184 ÷ 7
= $312

Amount that 1 set of blouses was more than 1 set of vests 
= 420 - 312
= $108

Number of items in 1 set
= 108 ÷ 9
= 12

Number of vests sold
= 7 x 12
= 84

Answer(s): (a) $2184 ; (b) 84