Esther's shop sold shirts and skirts. The shirts were sold at $50 each and each skirt was sold at ¹₅ of the price of each shirt. Esther sold ¹₄ of the items on the first day and collected $2100. ⁴₅ of the items sold on the first day were shirts.

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
1x5		3x5	4x5
Shirts	Skirts
4x1	1x1
4 u	1 u	15 u	20 u

The total number of shirts and skirts sold is repeated.  Make the total number of shirts and skirts sold the same.  LCM of 5 and 1 is 5.

	Shirts	Skirts	Total
Number	4 u	1 u	5 u
Value	$50	$10
Total value	200 u	10 u	210 u

Cost of each skirt
= ¹₅ x 50
= $10

Total amount collected from selling the shirts and the skirts on the first day
= 200 u + 10 u
= 210 u

210 u = 2100

1 u = 2100 ÷ 210 = 10

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

(b)
Total number of items left after the first day
= 15 u
= 15 x 10
= 150

Answer(s): (a) 10; (b) 150