Nora's shop sold dresses and skirts. The dresses were sold at $70 each and each skirt was sold at ¹₂ of the price of each dress. Nora sold ¹₂ of the items on the first day and collected $6160. ⁵₆ of the items sold on the first day were dresses.

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
1x6		1x6	2x6
Dresses	Skirts
5x1	1x1
5 u	1 u	6 u	12 u

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

	Dresses	Skirts	Total
Number	5 u	1 u	6 u
Value	$70	$35
Total value	350 u	35 u	385 u

Cost of each skirt
= ¹₂ x 70
= $35

Total amount collected from selling the dresses and the skirts on the first day
= 350 u + 35 u
= 385 u

385 u = 6160

1 u = 6160 ÷ 385 = 16

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

(b)
Total number of items left after the first day
= 6 u
= 6 x 16
= 96

Answer(s): (a) 16; (b) 96