Lucy's shop sold coats and jumpsuits. The coats were sold at $80 each and each jumpsuit was sold at ³₅ of the price of each coat. Lucy sold ¹₂ of the items on the first day and collected $3136. ⁵₆ of the items sold on the first day were coats.

1. How many jumpsuits 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
Coats	Jumpsuits
5x1	1x1
5 u	1 u	6 u	12 u

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

	Coats	Jumpsuits	Total
Number	5 u	1 u	6 u
Value	$80	$48
Total value	400 u	48 u	448 u

Cost of each jumpsuit
= ³₅ x 80
= $48

Total amount collected from selling the coats and the jumpsuits on the first day
= 400 u + 48 u
= 448 u

448 u = 3136

1 u = 3136 ÷ 448 = 7

Number of jumpsuits sold on the first day
= 1 u
= 7

(b)
Total number of items left after the first day
= 6 u
= 6 x 7
= 42

Answer(s): (a) 7; (b) 42