Zoe's shop sold blazers and coats. The blazers were sold at $120 each and each coat was sold at ²₃ of the price of each blazer. Zoe sold ¹₄ of the items on the first day and collected $2800. ¹₂ of the items sold on the first day were blazers.

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		3x2	4x2
Blazers	Coats
1x1	1x1
1 u	1 u	6 u	8 u

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

	Blazers	Coats	Total
Number	1 u	1 u	2 u
Value	$120	$80
Total value	120 u	80 u	200 u

Cost of each coat
= ²₃ x 120
= $80

Total amount collected from selling the blazers and the coats on the first day
= 120 u + 80 u
= 200 u

200 u = 2800

1 u = 2800 ÷ 200 = 14

Number of coats sold on the first day
= 1 u
= 14

(b)
Total number of items left after the first day
= 6 u
= 6 x 14
= 84

Answer(s): (a) 14; (b) 84