Raeann's shop sold coats and skirts. The coats were sold at $60 each and each skirt was sold at ³₅ of the price of each coat. Raeann sold ¹₃ of the items on the first day and collected $5616. ³₄ of the items sold on the first day were coats.

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

(a)

Sold		Unsold	Total
1x4		2x4	3x4
Coats	Skirts
3x1	1x1
3 u	1 u	8 u	12 u

The total number of coats and skirts sold is repeated.  Make the total number of coats and skirts sold the same.  LCM of 4 and 1 is 4.

	Coats	Skirts	Total
Number	3 u	1 u	4 u
Value	$60	$36
Total value	180 u	36 u	216 u

Cost of each skirt
= ³₅ x 60
= $36

Total amount collected from selling the coats and the skirts on the first day
= 180 u + 36 u
= 216 u

216 u = 5616

1 u = 5616 ÷ 216 = 26

Number of skirts sold on the first day
= 1 u
= 26

(b)
Total number of items left after the first day
= 8 u
= 8 x 26
= 208

Answer(s): (a) 26; (b) 208