Betty's shop sold vests and jumpsuits. The vests were sold at $90 each and each jumpsuit was sold at ²₅ of the price of each vest. Betty sold ¹₃ of the items on the first day and collected $13608. ⁵₆ of the items sold on the first day were vests.

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

(a)

Sold		Unsold	Total
1x6		2x6	3x6
Vests	Jumpsuits
5x1	1x1
5 u	1 u	12 u	18 u

The total number of vests and jumpsuits sold is repeated.  Make the total number of vests and jumpsuits sold the same.  LCM of 6 and 1 is 6.

	Vests	Jumpsuits	Total
Number	5 u	1 u	6 u
Value	$90	$36
Total value	450 u	36 u	486 u

Cost of each jumpsuit
= ²₅ x 90
= $36

Total amount collected from selling the vests and the jumpsuits on the first day
= 450 u + 36 u
= 486 u

486 u = 13608

1 u = 13608 ÷ 486 = 28

Number of jumpsuits sold on the first day
= 1 u
= 28

(b)
Total number of items left after the first day
= 12 u
= 12 x 28
= 336

Answer(s): (a) 28; (b) 336