Linda's shop sold blouses and dresses. The blouses were sold at $40 each and each dress was sold at ⁴₅ of the price of each blouse. Linda sold ¹₃ of the items on the first day and collected $3344. ³₄ of the items sold on the first day were blouses.

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		2x4	3x4
Blouses	Dresses
3x1	1x1
3 u	1 u	8 u	12 u

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

	Blouses	Dresses	Total
Number	3 u	1 u	4 u
Value	$40	$32
Total value	120 u	32 u	152 u

Cost of each dress
= ⁴₅ x 40
= $32

Total amount collected from selling the blouses and the dresses on the first day
= 120 u + 32 u
= 152 u

152 u = 3344

1 u = 3344 ÷ 152 = 22

Number of dresses sold on the first day
= 1 u
= 22

(b)
Total number of items left after the first day
= 8 u
= 8 x 22
= 176

Answer(s): (a) 22; (b) 176