Yoko's shop sold windbreakers and blouses. The windbreakers were sold at $120 each and each blouse was sold at ⁴₅ of the price of each windbreaker. Yoko sold ¹₅ of the items on the first day and collected $1368. ³₄ of the items sold on the first day were windbreakers.

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
1x4		4x4	5x4
Windbreakers	Blouses
3x1	1x1
3 u	1 u	16 u	20 u

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

	Windbreakers	Blouses	Total
Number	3 u	1 u	4 u
Value	$120	$96
Total value	360 u	96 u	456 u

Cost of each blouse
= ⁴₅ x 120
= $96

Total amount collected from selling the windbreakers and the blouses on the first day
= 360 u + 96 u
= 456 u

456 u = 1368

1 u = 1368 ÷ 456 = 3

Number of blouses sold on the first day
= 1 u
= 3

(b)
Total number of items left after the first day
= 16 u
= 16 x 3
= 48

Answer(s): (a) 3; (b) 48