Lynn's shop sold sweaters and dresses. The sweaters were sold at $90 each and each dress was sold at ³₅ of the price of each sweater. Lynn sold ¹₆ of the items on the first day and collected $7560. ⁵₆ of the items sold on the first day were sweaters.

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
1x6		5x6	6x6
Sweaters	Dresses
5x1	1x1
5 u	1 u	30 u	36 u

The total number of sweaters and dresses sold is repeated.  Make the total number of sweaters and dresses sold the same.  LCM of 6 and 1 is 6.

	Sweaters	Dresses	Total
Number	5 u	1 u	6 u
Value	$90	$54
Total value	450 u	54 u	504 u

Cost of each dress
= ³₅ x 90
= $54

Total amount collected from selling the sweaters and the dresses on the first day
= 450 u + 54 u
= 504 u

504 u = 7560

1 u = 7560 ÷ 504 = 15

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

(b)
Total number of items left after the first day
= 30 u
= 30 x 15
= 450

Answer(s): (a) 15; (b) 450