Olivia's shop sold skirts and coats. The skirts were sold at $70 each and each coat was sold at ³₅ of the price of each skirt. Olivia sold ¹₂ of the items on the first day and collected $5096. ⁵₆ of the items sold on the first day were skirts.

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
1x6		1x6	2x6
Skirts	Coats
5x1	1x1
5 u	1 u	6 u	12 u

The total number of skirts and coats sold is repeated.  Make the total number of skirts and coats sold the same.  LCM of 6 and 1 is 6.

	Skirts	Coats	Total
Number	5 u	1 u	6 u
Value	$70	$42
Total value	350 u	42 u	392 u

Cost of each coat
= ³₅ x 70
= $42

Total amount collected from selling the skirts and the coats on the first day
= 350 u + 42 u
= 392 u

392 u = 5096

1 u = 5096 ÷ 392 = 13

Number of coats sold on the first day
= 1 u
= 13

(b)
Total number of items left after the first day
= 6 u
= 6 x 13
= 78

Answer(s): (a) 13; (b) 78