Fanny's shop sold coats and sweaters. The coats were sold at $60 each and each sweater was sold at ³₅ of the price of each coat. Fanny sold ¹₅ of the items on the first day and collected $6900. ⁴₅ of the items sold on the first day were coats.

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
1x5		4x5	5x5
Coats	Sweaters
4x1	1x1
4 u	1 u	20 u	25 u

The total number of coats and sweaters sold is repeated.  Make the total number of coats and sweaters sold the same.  LCM of 5 and 1 is 5.

	Coats	Sweaters	Total
Number	4 u	1 u	5 u
Value	$60	$36
Total value	240 u	36 u	276 u

Cost of each sweater
= ³₅ x 60
= $36

Total amount collected from selling the coats and the sweaters on the first day
= 240 u + 36 u
= 276 u

276 u = 6900

1 u = 6900 ÷ 276 = 25

Number of sweaters sold on the first day
= 1 u
= 25

(b)
Total number of items left after the first day
= 20 u
= 20 x 25
= 500

Answer(s): (a) 25; (b) 500