Joelle's shop sold windbreakers and vests. The windbreakers were sold at $60 each and each vest was sold at ¹₃ of the price of each windbreaker. Joelle sold ¹₄ of the items on the first day and collected $1120. ¹₂ of the items sold on the first day were windbreakers.

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

(a)

Sold		Unsold	Total
1x2		3x2	4x2
Windbreakers	Vests
1x1	1x1
1 u	1 u	6 u	8 u

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

	Windbreakers	Vests	Total
Number	1 u	1 u	2 u
Value	$60	$20
Total value	60 u	20 u	80 u

Cost of each vest
= ¹₃ x 60
= $20

Total amount collected from selling the windbreakers and the vests on the first day
= 60 u + 20 u
= 80 u

80 u = 1120

1 u = 1120 ÷ 80 = 14

Number of vests sold on the first day
= 1 u
= 14

(b)
Total number of items left after the first day
= 6 u
= 6 x 14
= 84

Answer(s): (a) 14; (b) 84