Julie's shop sold sweaters and vests. The sweaters were sold at $100 each and each vest was sold at ¹₂ of the price of each sweater. Julie sold ¹₅ of the items on the first day and collected $5600. ³₄ of the items sold on the first day were sweaters.

1. How many vests were sold on the first day?
2. What was the total number of items left after the first day?

(a)

Sold		Unsold	Total
1x4		4x4	5x4
Sweaters	Vests
3x1	1x1
3 u	1 u	16 u	20 u

The total number of sweaters and vests sold is repeated.  Make the total number of sweaters and vests sold the same.  LCM of 4 and 1 is 4.

	Sweaters	Vests	Total
Number	3 u	1 u	4 u
Value	$100	$50
Total value	300 u	50 u	350 u

Cost of each vest
= ¹₂ x 100
= $50

Total amount collected from selling the sweaters and the vests on the first day
= 300 u + 50 u
= 350 u

350 u = 5600

1 u = 5600 ÷ 350 = 16

Number of vests sold on the first day
= 1 u
= 16

(b)
Total number of items left after the first day
= 16 u
= 16 x 16
= 256

Answer(s): (a) 16; (b) 256