Abi's shop sold jumpsuits and blazers. The jumpsuits were sold at $40 each and each blazer was sold at ³₅ of the price of each jumpsuit. Abi sold ¹₆ of the items on the first day and collected $416. ²₃ of the items sold on the first day were jumpsuits.

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

(a)

Sold		Unsold	Total
1x3		5x3	6x3
Jumpsuits	Blazers
2x1	1x1
2 u	1 u	15 u	18 u

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

	Jumpsuits	Blazers	Total
Number	2 u	1 u	3 u
Value	$40	$24
Total value	80 u	24 u	104 u

Cost of each blazer
= ³₅ x 40
= $24

Total amount collected from selling the jumpsuits and the blazers on the first day
= 80 u + 24 u
= 104 u

104 u = 416

1 u = 416 ÷ 104 = 4

Number of blazers sold on the first day
= 1 u
= 4

(b)
Total number of items left after the first day
= 15 u
= 15 x 4
= 60

Answer(s): (a) 4; (b) 60