Sabrina's shop sold sweaters and skirts. The sweaters were sold at $80 each and each skirt was sold at ⁴₅ of the price of each sweater. Sabrina sold ¹₆ of the items on the first day and collected $6688. ³₄ of the items sold on the first day were sweaters.

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

(a)

Sold		Unsold	Total
1x4		5x4	6x4
Sweaters	Skirts
3x1	1x1
3 u	1 u	20 u	24 u

The total number of sweaters and skirts sold is repeated.  Make the total number of sweaters and skirts sold the same.  LCM of 4 and 1 is 4.

	Sweaters	Skirts	Total
Number	3 u	1 u	4 u
Value	$80	$64
Total value	240 u	64 u	304 u

Cost of each skirt
= ⁴₅ x 80
= $64

Total amount collected from selling the sweaters and the skirts on the first day
= 240 u + 64 u
= 304 u

304 u = 6688

1 u = 6688 ÷ 304 = 22

Number of skirts sold on the first day
= 1 u
= 22

(b)
Total number of items left after the first day
= 20 u
= 20 x 22
= 440

Answer(s): (a) 22; (b) 440