Joelle's shop sold windbreakers and dresses. The windbreakers were sold at $60 each and each dress was sold at ¹₃ of the price of each windbreaker. Joelle sold ¹₅ of the items on the first day and collected $1600. ³₄ of the items sold on the first day were windbreakers.

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
1x4		4x4	5x4
Windbreakers	Dresses
3x1	1x1
3 u	1 u	16 u	20 u

The total number of windbreakers and dresses sold is repeated.  Make the total number of windbreakers and dresses sold the same.  LCM of 4 and 1 is 4.

	Windbreakers	Dresses	Total
Number	3 u	1 u	4 u
Value	$60	$20
Total value	180 u	20 u	200 u

Cost of each dress
= ¹₃ x 60
= $20

Total amount collected from selling the windbreakers and the dresses on the first day
= 180 u + 20 u
= 200 u

200 u = 1600

1 u = 1600 ÷ 200 = 8

Number of dresses sold on the first day
= 1 u
= 8

(b)
Total number of items left after the first day
= 16 u
= 16 x 8
= 128

Answer(s): (a) 8; (b) 128