Wendy's shop sold blouses and jackets. The blouses were sold at $50 each and each jacket was sold at ³₅ of the price of each blouse. Wendy sold ¹₅ of the items on the first day and collected $4830. ⁴₅ of the items sold on the first day were blouses.

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
1x5		4x5	5x5
Blouses	Jackets
4x1	1x1
4 u	1 u	20 u	25 u

The total number of blouses and jackets sold is repeated.  Make the total number of blouses and jackets sold the same.  LCM of 5 and 1 is 5.

	Blouses	Jackets	Total
Number	4 u	1 u	5 u
Value	$50	$30
Total value	200 u	30 u	230 u

Cost of each jacket
= ³₅ x 50
= $30

Total amount collected from selling the blouses and the jackets on the first day
= 200 u + 30 u
= 230 u

230 u = 4830

1 u = 4830 ÷ 230 = 21

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

(b)
Total number of items left after the first day
= 20 u
= 20 x 21
= 420

Answer(s): (a) 21; (b) 420