Roshel's shop sold sweaters and dresses. The sweaters were sold at $120 each and each dress was sold at ³₄ of the price of each sweater. Roshel sold ¹₅ of the items on the first day and collected $9240. ²₃ of the items sold on the first day were sweaters.

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

(a)

Sold		Unsold	Total
1x3		4x3	5x3
Sweaters	Dresses
2x1	1x1
2 u	1 u	12 u	15 u

The total number of sweaters and dresses sold is repeated.  Make the total number of sweaters and dresses sold the same.  LCM of 3 and 1 is 3.

	Sweaters	Dresses	Total
Number	2 u	1 u	3 u
Value	$120	$90
Total value	240 u	90 u	330 u

Cost of each dress
= ³₄ x 120
= $90

Total amount collected from selling the sweaters and the dresses on the first day
= 240 u + 90 u
= 330 u

330 u = 9240

1 u = 9240 ÷ 330 = 28

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

(b)
Total number of items left after the first day
= 12 u
= 12 x 28
= 336

Answer(s): (a) 28; (b) 336