Kathy's shop sold shirts and blazers. The shirts were sold at $40 each and each blazer was sold at ²₅ of the price of each shirt. Kathy sold ¹₄ of the items on the first day and collected $2496. ²₃ of the items sold on the first day were shirts.

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
1x3		3x3	4x3
Shirts	Blazers
2x1	1x1
2 u	1 u	9 u	12 u

The total number of shirts and blazers sold is repeated.  Make the total number of shirts and blazers sold the same.  LCM of 3 and 1 is 3.

	Shirts	Blazers	Total
Number	2 u	1 u	3 u
Value	$40	$16
Total value	80 u	16 u	96 u

Cost of each blazer
= ²₅ x 40
= $16

Total amount collected from selling the shirts and the blazers on the first day
= 80 u + 16 u
= 96 u

96 u = 2496

1 u = 2496 ÷ 96 = 26

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

(b)
Total number of items left after the first day
= 9 u
= 9 x 26
= 234

Answer(s): (a) 26; (b) 234