Olivia's shop sold vests and skirts. The vests were sold at $100 each and each skirt was sold at ¹₅ of the price of each vest. Olivia sold ¹₆ of the items on the first day and collected $3740. ²₃ of the items sold on the first day were vests.

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
1x3		5x3	6x3
Vests	Skirts
2x1	1x1
2 u	1 u	15 u	18 u

The total number of vests and skirts sold is repeated.  Make the total number of vests and skirts sold the same.  LCM of 3 and 1 is 3.

	Vests	Skirts	Total
Number	2 u	1 u	3 u
Value	$100	$20
Total value	200 u	20 u	220 u

Cost of each skirt
= ¹₅ x 100
= $20

Total amount collected from selling the vests and the skirts on the first day
= 200 u + 20 u
= 220 u

220 u = 3740

1 u = 3740 ÷ 220 = 17

Number of skirts sold on the first day
= 1 u
= 17

(b)
Total number of items left after the first day
= 15 u
= 15 x 17
= 255

Answer(s): (a) 17; (b) 255