Cathy's shop sold shirts and jumpsuits. The shirts were sold at $70 each and each jumpsuit was sold at ²₅ of the price of each shirt. Cathy sold ¹₅ of the items on the first day and collected $7084. ⁴₅ of the items sold on the first day were shirts.

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
1x5		4x5	5x5
Shirts	Jumpsuits
4x1	1x1
4 u	1 u	20 u	25 u

The total number of shirts and jumpsuits sold is repeated.  Make the total number of shirts and jumpsuits sold the same.  LCM of 5 and 1 is 5.

	Shirts	Jumpsuits	Total
Number	4 u	1 u	5 u
Value	$70	$28
Total value	280 u	28 u	308 u

Cost of each jumpsuit
= ²₅ x 70
= $28

Total amount collected from selling the shirts and the jumpsuits on the first day
= 280 u + 28 u
= 308 u

308 u = 7084

1 u = 7084 ÷ 308 = 23

Number of jumpsuits sold on the first day
= 1 u
= 23

(b)
Total number of items left after the first day
= 20 u
= 20 x 23
= 460

Answer(s): (a) 23; (b) 460