Kimberly's shop sold blazers and shirts. The blazers were sold at $120 each and each shirt was sold at ⁴₅ of the price of each blazer. Kimberly sold ¹₆ of the items on the first day and collected $1824. ³₄ of the items sold on the first day were blazers.

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

(a)

Sold		Unsold	Total
1x4		5x4	6x4
Blazers	Shirts
3x1	1x1
3 u	1 u	20 u	24 u

The total number of blazers and shirts sold is repeated.  Make the total number of blazers and shirts sold the same.  LCM of 4 and 1 is 4.

	Blazers	Shirts	Total
Number	3 u	1 u	4 u
Value	$120	$96
Total value	360 u	96 u	456 u

Cost of each shirt
= ⁴₅ x 120
= $96

Total amount collected from selling the blazers and the shirts on the first day
= 360 u + 96 u
= 456 u

456 u = 1824

1 u = 1824 ÷ 456 = 4

Number of shirts sold on the first day
= 1 u
= 4

(b)
Total number of items left after the first day
= 20 u
= 20 x 4
= 80

Answer(s): (a) 4; (b) 80