Emily's shop sold blazers and dresses. The blazers were sold at $60 each and each dress was sold at ¹₅ of the price of each blazer. Emily sold ¹₄ of the items on the first day and collected $264. ²₃ of the items sold on the first day were blazers.

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		3x3	4x3
Blazers	Dresses
2x1	1x1
2 u	1 u	9 u	12 u

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

	Blazers	Dresses	Total
Number	2 u	1 u	3 u
Value	$60	$12
Total value	120 u	12 u	132 u

Cost of each dress
= ¹₅ x 60
= $12

Total amount collected from selling the blazers and the dresses on the first day
= 120 u + 12 u
= 132 u

132 u = 264

1 u = 264 ÷ 132 = 2

Number of dresses sold on the first day
= 1 u
= 2

(b)
Total number of items left after the first day
= 9 u
= 9 x 2
= 18

Answer(s): (a) 2; (b) 18