Jen's shop sold coats and blazers. The coats were sold at $40 each and each blazer was sold at ¹₅ of the price of each coat. Jen sold ¹₅ of the items on the first day and collected $1152. ¹₂ of the items sold on the first day were coats.

1. How many blazers 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
Coats	Blazers
1x1	1x1
1 u	1 u	8 u	10 u

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

	Coats	Blazers	Total
Number	1 u	1 u	2 u
Value	$40	$8
Total value	40 u	8 u	48 u

Cost of each blazer
= ¹₅ x 40
= $8

Total amount collected from selling the coats and the blazers on the first day
= 40 u + 8 u
= 48 u

48 u = 1152

1 u = 1152 ÷ 48 = 24

Number of blazers sold on the first day
= 1 u
= 24

(b)
Total number of items left after the first day
= 8 u
= 8 x 24
= 192

Answer(s): (a) 24; (b) 192