Roshel's shop sold vests and dresses. The vests were sold at $100 each and each dress was sold at ¹₄ of the price of each vest. Roshel sold ¹₆ of the items on the first day and collected $4875. ³₄ of the items sold on the first day were vests.

1. How many dresses 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
Vests	Dresses
3x1	1x1
3 u	1 u	20 u	24 u

The total number of vests and dresses sold is repeated.  Make the total number of vests and dresses sold the same.  LCM of 4 and 1 is 4.

	Vests	Dresses	Total
Number	3 u	1 u	4 u
Value	$100	$25
Total value	300 u	25 u	325 u

Cost of each dress
= ¹₄ x 100
= $25

Total amount collected from selling the vests and the dresses on the first day
= 300 u + 25 u
= 325 u

325 u = 4875

1 u = 4875 ÷ 325 = 15

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

(b)
Total number of items left after the first day
= 20 u
= 20 x 15
= 300

Answer(s): (a) 15; (b) 300