Rachel's shop sold blazers and blouses. The blazers were sold at $40 each and each blouse was sold at ¹₂ of the price of each blazer. Rachel sold ¹₆ of the items on the first day and collected $400. ²₃ of the items sold on the first day were blazers.

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

(a)

Sold		Unsold	Total
1x3		5x3	6x3
Blazers	Blouses
2x1	1x1
2 u	1 u	15 u	18 u

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

	Blazers	Blouses	Total
Number	2 u	1 u	3 u
Value	$40	$20
Total value	80 u	20 u	100 u

Cost of each blouse
= ¹₂ x 40
= $20

Total amount collected from selling the blazers and the blouses on the first day
= 80 u + 20 u
= 100 u

100 u = 400

1 u = 400 ÷ 100 = 4

Number of blouses sold on the first day
= 1 u
= 4

(b)
Total number of items left after the first day
= 15 u
= 15 x 4
= 60

Answer(s): (a) 4; (b) 60