Lynn's shop sold blouses and sweaters. The blouses were sold at $100 each and each sweater was sold at ⁴₅ of the price of each blouse. Lynn sold ¹₂ of the items on the first day and collected $4200. ²₃ of the items sold on the first day were blouses.

1. How many sweaters 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
Blouses	Sweaters
2x1	1x1
2 u	1 u	3 u	6 u

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

	Blouses	Sweaters	Total
Number	2 u	1 u	3 u
Value	$100	$80
Total value	200 u	80 u	280 u

Cost of each sweater
= ⁴₅ x 100
= $80

Total amount collected from selling the blouses and the sweaters on the first day
= 200 u + 80 u
= 280 u

280 u = 4200

1 u = 4200 ÷ 280 = 15

Number of sweaters sold on the first day
= 1 u
= 15

(b)
Total number of items left after the first day
= 3 u
= 3 x 15
= 45

Answer(s): (a) 15; (b) 45