Pamela's shop sold jumpsuits and skirts. The jumpsuits were sold at $90 each and each skirt was sold at ¹₃ of the price of each jumpsuit. Pamela sold ¹₄ of the items on the first day and collected $3000. ³₄ of the items sold on the first day were jumpsuits.

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		3x4	4x4
Jumpsuits	Skirts
3x1	1x1
3 u	1 u	12 u	16 u

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

	Jumpsuits	Skirts	Total
Number	3 u	1 u	4 u
Value	$90	$30
Total value	270 u	30 u	300 u

Cost of each skirt
= ¹₃ x 90
= $30

Total amount collected from selling the jumpsuits and the skirts on the first day
= 270 u + 30 u
= 300 u

300 u = 3000

1 u = 3000 ÷ 300 = 10

Number of skirts sold on the first day
= 1 u
= 10

(b)
Total number of items left after the first day
= 12 u
= 12 x 10
= 120

Answer(s): (a) 10; (b) 120