Anna's shop sold dresses and windbreakers. The dresses were sold at $120 each and each windbreaker was sold at ²₃ of the price of each dress. Anna sold ¹₆ of the items on the first day and collected $400. ¹₂ of the items sold on the first day were dresses.

1. How many windbreakers 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
Dresses	Windbreakers
1x1	1x1
1 u	1 u	10 u	12 u

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

	Dresses	Windbreakers	Total
Number	1 u	1 u	2 u
Value	$120	$80
Total value	120 u	80 u	200 u

Cost of each windbreaker
= ²₃ x 120
= $80

Total amount collected from selling the dresses and the windbreakers on the first day
= 120 u + 80 u
= 200 u

200 u = 400

1 u = 400 ÷ 200 = 2

Number of windbreakers sold on the first day
= 1 u
= 2

(b)
Total number of items left after the first day
= 10 u
= 10 x 2
= 20

Answer(s): (a) 2; (b) 20