Roshel's shop sold blouses and blazers. The blouses were sold at $40 each and each blazer was sold at ³₄ of the price of each blouse. Roshel sold ¹₄ of the items on the first day and collected $2860. ²₃ of the items sold on the first day were blouses.

1. How many blazers 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
Blouses	Blazers
2x1	1x1
2 u	1 u	9 u	12 u

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

	Blouses	Blazers	Total
Number	2 u	1 u	3 u
Value	$40	$30
Total value	80 u	30 u	110 u

Cost of each blazer
= ³₄ x 40
= $30

Total amount collected from selling the blouses and the blazers on the first day
= 80 u + 30 u
= 110 u

110 u = 2860

1 u = 2860 ÷ 110 = 26

Number of blazers sold on the first day
= 1 u
= 26

(b)
Total number of items left after the first day
= 9 u
= 9 x 26
= 234

Answer(s): (a) 26; (b) 234