Min's shop sold coats and windbreakers. The coats were sold at $100 each and each windbreaker was sold at ¹₅ of the price of each coat. Min sold ¹₆ of the items on the first day and collected $5040. ⁴₅ of the items sold on the first day were coats.

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
1x5		5x5	6x5
Coats	Windbreakers
4x1	1x1
4 u	1 u	25 u	30 u

The total number of coats and windbreakers sold is repeated.  Make the total number of coats and windbreakers sold the same.  LCM of 5 and 1 is 5.

	Coats	Windbreakers	Total
Number	4 u	1 u	5 u
Value	$100	$20
Total value	400 u	20 u	420 u

Cost of each windbreaker
= ¹₅ x 100
= $20

Total amount collected from selling the coats and the windbreakers on the first day
= 400 u + 20 u
= 420 u

420 u = 5040

1 u = 5040 ÷ 420 = 12

Number of windbreakers sold on the first day
= 1 u
= 12

(b)
Total number of items left after the first day
= 25 u
= 25 x 12
= 300

Answer(s): (a) 12; (b) 300