Kylie's shop sold jumpsuits and jackets. The jumpsuits were sold at $110 each and each jacket was sold at ⁴₅ of the price of each jumpsuit. Kylie sold ¹₂ of the items on the first day and collected $5808. ⁴₅ of the items sold on the first day were jumpsuits.

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

(a)

Sold		Unsold	Total
1x5		1x5	2x5
Jumpsuits	Jackets
4x1	1x1
4 u	1 u	5 u	10 u

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

	Jumpsuits	Jackets	Total
Number	4 u	1 u	5 u
Value	$110	$88
Total value	440 u	88 u	528 u

Cost of each jacket
= ⁴₅ x 110
= $88

Total amount collected from selling the jumpsuits and the jackets on the first day
= 440 u + 88 u
= 528 u

528 u = 5808

1 u = 5808 ÷ 528 = 11

Number of jackets sold on the first day
= 1 u
= 11

(b)
Total number of items left after the first day
= 5 u
= 5 x 11
= 55

Answer(s): (a) 11; (b) 55