Cathy's shop sold jumpsuits and vests. The jumpsuits were sold at $120 each and each vest was sold at ²₃ of the price of each jumpsuit. Cathy sold ¹₄ of the items on the first day and collected $9600. ²₃ of the items sold on the first day were jumpsuits.

1. How many vests were sold on the first day?
2. What was the total number of items left after the first day?

(a)

Sold		Unsold	Total
1x3		3x3	4x3
Jumpsuits	Vests
2x1	1x1
2 u	1 u	9 u	12 u

The total number of jumpsuits and vests sold is repeated.  Make the total number of jumpsuits and vests sold the same.  LCM of 3 and 1 is 3.

	Jumpsuits	Vests	Total
Number	2 u	1 u	3 u
Value	$120	$80
Total value	240 u	80 u	320 u

Cost of each vest
= ²₃ x 120
= $80

Total amount collected from selling the jumpsuits and the vests on the first day
= 240 u + 80 u
= 320 u

320 u = 9600

1 u = 9600 ÷ 320 = 30

Number of vests sold on the first day
= 1 u
= 30

(b)
Total number of items left after the first day
= 9 u
= 9 x 30
= 270

Answer(s): (a) 30; (b) 270