Shiyun's shop sold dresses and sweaters. The dresses were sold at $60 each and each sweater was sold at ³₅ of the price of each dress. Shiyun sold ¹₅ of the items on the first day and collected $2688. ¹₂ of the items sold on the first day were dresses.

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

(a)

Sold		Unsold	Total
1x2		4x2	5x2
Dresses	Sweaters
1x1	1x1
1 u	1 u	8 u	10 u

The total number of dresses and sweaters sold is repeated.  Make the total number of dresses and sweaters sold the same.  LCM of 2 and 1 is 2.

	Dresses	Sweaters	Total
Number	1 u	1 u	2 u
Value	$60	$36
Total value	60 u	36 u	96 u

Cost of each sweater
= ³₅ x 60
= $36

Total amount collected from selling the dresses and the sweaters on the first day
= 60 u + 36 u
= 96 u

96 u = 2688

1 u = 2688 ÷ 96 = 28

Number of sweaters sold on the first day
= 1 u
= 28

(b)
Total number of items left after the first day
= 8 u
= 8 x 28
= 224

Answer(s): (a) 28; (b) 224