Raeann's shop sold shirts and coats. The shirts were sold at $60 each and each coat was sold at ³₅ of the price of each shirt. Raeann sold ¹₅ of the items on the first day and collected $2592. ¹₂ of the items sold on the first day were shirts.

1. How many coats 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
Shirts	Coats
1x1	1x1
1 u	1 u	8 u	10 u

The total number of shirts and coats sold is repeated.  Make the total number of shirts and coats sold the same.  LCM of 2 and 1 is 2.

	Shirts	Coats	Total
Number	1 u	1 u	2 u
Value	$60	$36
Total value	60 u	36 u	96 u

Cost of each coat
= ³₅ x 60
= $36

Total amount collected from selling the shirts and the coats on the first day
= 60 u + 36 u
= 96 u

96 u = 2592

1 u = 2592 ÷ 96 = 27

Number of coats sold on the first day
= 1 u
= 27

(b)
Total number of items left after the first day
= 8 u
= 8 x 27
= 216

Answer(s): (a) 27; (b) 216