Vanessa's shop sold windbreakers and jackets. The windbreakers were sold at $60 each and each jacket was sold at ³₅ of the price of each windbreaker. Vanessa sold ¹₆ of the items on the first day and collected $7056. ⁵₆ of the items sold on the first day were windbreakers.

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

(a)

Sold		Unsold	Total
1x6		5x6	6x6
Windbreakers	Jackets
5x1	1x1
5 u	1 u	30 u	36 u

The total number of windbreakers and jackets sold is repeated.  Make the total number of windbreakers and jackets sold the same.  LCM of 6 and 1 is 6.

	Windbreakers	Jackets	Total
Number	5 u	1 u	6 u
Value	$60	$36
Total value	300 u	36 u	336 u

Cost of each jacket
= ³₅ x 60
= $36

Total amount collected from selling the windbreakers and the jackets on the first day
= 300 u + 36 u
= 336 u

336 u = 7056

1 u = 7056 ÷ 336 = 21

Number of jackets sold on the first day
= 1 u
= 21

(b)
Total number of items left after the first day
= 30 u
= 30 x 21
= 630

Answer(s): (a) 21; (b) 630