Linda's shop sold skirts and dresses. The skirts were sold at $110 each and each dress was sold at ⁴₅ of the price of each skirt. Linda sold ¹₆ of the items on the first day and collected $3168. ¹₂ of the items sold on the first day were skirts.

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
1x2		5x2	6x2
Skirts	Dresses
1x1	1x1
1 u	1 u	10 u	12 u

The total number of skirts and dresses sold is repeated.  Make the total number of skirts and dresses sold the same.  LCM of 2 and 1 is 2.

	Skirts	Dresses	Total
Number	1 u	1 u	2 u
Value	$110	$88
Total value	110 u	88 u	198 u

Cost of each dress
= ⁴₅ x 110
= $88

Total amount collected from selling the skirts and the dresses on the first day
= 110 u + 88 u
= 198 u

198 u = 3168

1 u = 3168 ÷ 198 = 16

Number of dresses sold on the first day
= 1 u
= 16

(b)
Total number of items left after the first day
= 10 u
= 10 x 16
= 160

Answer(s): (a) 16; (b) 160