Jen's shop sold dresses and jackets. The dresses were sold at $80 each and each jacket was sold at ¹₄ of the price of each dress. Jen sold ¹₆ of the items on the first day and collected $4160. ³₄ of the items sold on the first day were dresses.

1. How many jackets 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
Dresses	Jackets
3x1	1x1
3 u	1 u	20 u	24 u

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

	Dresses	Jackets	Total
Number	3 u	1 u	4 u
Value	$80	$20
Total value	240 u	20 u	260 u

Cost of each jacket
= ¹₄ x 80
= $20

Total amount collected from selling the dresses and the jackets on the first day
= 240 u + 20 u
= 260 u

260 u = 4160

1 u = 4160 ÷ 260 = 16

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

(b)
Total number of items left after the first day
= 20 u
= 20 x 16
= 320

Answer(s): (a) 16; (b) 320