Irene's shop sold windbreakers and blazers. The windbreakers were sold at $60 each and each blazer was sold at ¹₄ of the price of each windbreaker. Irene sold ¹₂ of the items on the first day and collected $1575. ¹₂ of the items sold on the first day were windbreakers.

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		1x2	2x2
Windbreakers	Blazers
1x1	1x1
1 u	1 u	2 u	4 u

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

	Windbreakers	Blazers	Total
Number	1 u	1 u	2 u
Value	$60	$15
Total value	60 u	15 u	75 u

Cost of each blazer
= ¹₄ x 60
= $15

Total amount collected from selling the windbreakers and the blazers on the first day
= 60 u + 15 u
= 75 u

75 u = 1575

1 u = 1575 ÷ 75 = 21

Number of blazers sold on the first day
= 1 u
= 21

(b)
Total number of items left after the first day
= 2 u
= 2 x 21
= 42

Answer(s): (a) 21; (b) 42