Kathy's shop sold shirts and dresses. The shirts were sold at $80 each and each dress was sold at ¹₄ of the price of each shirt. Kathy sold ¹₂ of the items on the first day and collected $3640. ³₄ of the items sold on the first day were shirts.

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		1x4	2x4
Shirts	Dresses
3x1	1x1
3 u	1 u	4 u	8 u

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

	Shirts	Dresses	Total
Number	3 u	1 u	4 u
Value	$80	$20
Total value	240 u	20 u	260 u

Cost of each dress
= ¹₄ x 80
= $20

Total amount collected from selling the shirts and the dresses on the first day
= 240 u + 20 u
= 260 u

260 u = 3640

1 u = 3640 ÷ 260 = 14

Number of dresses sold on the first day
= 1 u
= 14

(b)
Total number of items left after the first day
= 4 u
= 4 x 14
= 56

Answer(s): (a) 14; (b) 56