Esther's shop sold coats and blouses. The coats were sold at $120 each and each blouse was sold at ³₄ of the price of each coat. Esther sold ¹₆ of the items on the first day and collected $4620. ¹₂ of the items sold on the first day were coats.

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

(a)

Sold		Unsold	Total
1x2		5x2	6x2
Coats	Blouses
1x1	1x1
1 u	1 u	10 u	12 u

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

	Coats	Blouses	Total
Number	1 u	1 u	2 u
Value	$120	$90
Total value	120 u	90 u	210 u

Cost of each blouse
= ³₄ x 120
= $90

Total amount collected from selling the coats and the blouses on the first day
= 120 u + 90 u
= 210 u

210 u = 4620

1 u = 4620 ÷ 210 = 22

Number of blouses sold on the first day
= 1 u
= 22

(b)
Total number of items left after the first day
= 10 u
= 10 x 22
= 220

Answer(s): (a) 22; (b) 220