Eva's shop sold blouses and coats. The blouses were sold at $50 each and each coat was sold at ³₅ of the price of each blouse. Eva sold ¹₆ of the items on the first day and collected $5040. ³₄ of the items sold on the first day were blouses.

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
1x4		5x4	6x4
Blouses	Coats
3x1	1x1
3 u	1 u	20 u	24 u

The total number of blouses and coats sold is repeated.  Make the total number of blouses and coats sold the same.  LCM of 4 and 1 is 4.

	Blouses	Coats	Total
Number	3 u	1 u	4 u
Value	$50	$30
Total value	150 u	30 u	180 u

Cost of each coat
= ³₅ x 50
= $30

Total amount collected from selling the blouses and the coats on the first day
= 150 u + 30 u
= 180 u

180 u = 5040

1 u = 5040 ÷ 180 = 28

Number of coats sold on the first day
= 1 u
= 28

(b)
Total number of items left after the first day
= 20 u
= 20 x 28
= 560

Answer(s): (a) 28; (b) 560