Emily's shop sold sweaters and windbreakers. The sweaters were sold at $110 each and each windbreaker was sold at ¹₅ of the price of each sweater. Emily sold ¹₂ of the items on the first day and collected $4598. ²₃ of the items sold on the first day were sweaters.

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
1x3		1x3	2x3
Sweaters	Windbreakers
2x1	1x1
2 u	1 u	3 u	6 u

The total number of sweaters and windbreakers sold is repeated.  Make the total number of sweaters and windbreakers sold the same.  LCM of 3 and 1 is 3.

	Sweaters	Windbreakers	Total
Number	2 u	1 u	3 u
Value	$110	$22
Total value	220 u	22 u	242 u

Cost of each windbreaker
= ¹₅ x 110
= $22

Total amount collected from selling the sweaters and the windbreakers on the first day
= 220 u + 22 u
= 242 u

242 u = 4598

1 u = 4598 ÷ 242 = 19

Number of windbreakers sold on the first day
= 1 u
= 19

(b)
Total number of items left after the first day
= 3 u
= 3 x 19
= 57

Answer(s): (a) 19; (b) 57