Erika's shop sold jumpsuits and windbreakers. The jumpsuits were sold at $40 each and each windbreaker was sold at ¹₅ of the price of each jumpsuit. Erika sold ¹₃ of the items on the first day and collected $192. ¹₂ of the items sold on the first day were jumpsuits.

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
1x2		2x2	3x2
Jumpsuits	Windbreakers
1x1	1x1
1 u	1 u	4 u	6 u

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

	Jumpsuits	Windbreakers	Total
Number	1 u	1 u	2 u
Value	$40	$8
Total value	40 u	8 u	48 u

Cost of each windbreaker
= ¹₅ x 40
= $8

Total amount collected from selling the jumpsuits and the windbreakers on the first day
= 40 u + 8 u
= 48 u

48 u = 192

1 u = 192 ÷ 48 = 4

Number of windbreakers sold on the first day
= 1 u
= 4

(b)
Total number of items left after the first day
= 4 u
= 4 x 4
= 16

Answer(s): (a) 4; (b) 16