Pamela's shop sold shirts and windbreakers. The shirts were sold at $120 each and each windbreaker was sold at ³₅ of the price of each shirt. Pamela sold ¹₂ of the items on the first day and collected $12528. ³₄ of the items sold on the first day were shirts.

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

(a)

Sold		Unsold	Total
1x4		1x4	2x4
Shirts	Windbreakers
3x1	1x1
3 u	1 u	4 u	8 u

The total number of shirts and windbreakers sold is repeated.  Make the total number of shirts and windbreakers sold the same.  LCM of 4 and 1 is 4.

	Shirts	Windbreakers	Total
Number	3 u	1 u	4 u
Value	$120	$72
Total value	360 u	72 u	432 u

Cost of each windbreaker
= ³₅ x 120
= $72

Total amount collected from selling the shirts and the windbreakers on the first day
= 360 u + 72 u
= 432 u

432 u = 12528

1 u = 12528 ÷ 432 = 29

Number of windbreakers sold on the first day
= 1 u
= 29

(b)
Total number of items left after the first day
= 4 u
= 4 x 29
= 116

Answer(s): (a) 29; (b) 116