Risa's shop sold vests and blazers. The vests were sold at $100 each and each blazer was sold at ¹₅ of the price of each vest. Risa sold ¹₃ of the items on the first day and collected $2640. ¹₂ of the items sold on the first day were vests.

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
1x2		2x2	3x2
Vests	Blazers
1x1	1x1
1 u	1 u	4 u	6 u

The total number of vests and blazers sold is repeated.  Make the total number of vests and blazers sold the same.  LCM of 2 and 1 is 2.

	Vests	Blazers	Total
Number	1 u	1 u	2 u
Value	$100	$20
Total value	100 u	20 u	120 u

Cost of each blazer
= ¹₅ x 100
= $20

Total amount collected from selling the vests and the blazers on the first day
= 100 u + 20 u
= 120 u

120 u = 2640

1 u = 2640 ÷ 120 = 22

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

(b)
Total number of items left after the first day
= 4 u
= 4 x 22
= 88

Answer(s): (a) 22; (b) 88