Tammy's shop sold vests and sweaters. The vests were sold at $90 each and each sweater was sold at ²₅ of the price of each vest. Tammy sold ¹₅ of the items on the first day and collected $3780. ¹₂ of the items sold on the first day were vests.

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

(a)

Sold		Unsold	Total
1x2		4x2	5x2
Vests	Sweaters
1x1	1x1
1 u	1 u	8 u	10 u

The total number of vests and sweaters sold is repeated.  Make the total number of vests and sweaters sold the same.  LCM of 2 and 1 is 2.

	Vests	Sweaters	Total
Number	1 u	1 u	2 u
Value	$90	$36
Total value	90 u	36 u	126 u

Cost of each sweater
= ²₅ x 90
= $36

Total amount collected from selling the vests and the sweaters on the first day
= 90 u + 36 u
= 126 u

126 u = 3780

1 u = 3780 ÷ 126 = 30

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

(b)
Total number of items left after the first day
= 8 u
= 8 x 30
= 240

Answer(s): (a) 30; (b) 240