Cindy's shop sold jackets and shirts. The jackets were sold at $50 each and each shirt was sold at ²₅ of the price of each jacket. Cindy sold ¹₃ of the items on the first day and collected $3000. ²₃ of the items sold on the first day were jackets.

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
1x3		2x3	3x3
Jackets	Shirts
2x1	1x1
2 u	1 u	6 u	9 u

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

	Jackets	Shirts	Total
Number	2 u	1 u	3 u
Value	$50	$20
Total value	100 u	20 u	120 u

Cost of each shirt
= ²₅ x 50
= $20

Total amount collected from selling the jackets and the shirts on the first day
= 100 u + 20 u
= 120 u

120 u = 3000

1 u = 3000 ÷ 120 = 25

Number of shirts sold on the first day
= 1 u
= 25

(b)
Total number of items left after the first day
= 6 u
= 6 x 25
= 150

Answer(s): (a) 25; (b) 150