Victoria's shop sold jumpsuits and shirts. The jumpsuits were sold at $50 each and each shirt was sold at ¹₂ of the price of each jumpsuit. Victoria sold ¹₅ of the items on the first day and collected $550. ⁵₆ of the items sold on the first day were jumpsuits.

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

(a)

Sold		Unsold	Total
1x6		4x6	5x6
Jumpsuits	Shirts
5x1	1x1
5 u	1 u	24 u	30 u

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

	Jumpsuits	Shirts	Total
Number	5 u	1 u	6 u
Value	$50	$25
Total value	250 u	25 u	275 u

Cost of each shirt
= ¹₂ x 50
= $25

Total amount collected from selling the jumpsuits and the shirts on the first day
= 250 u + 25 u
= 275 u

275 u = 550

1 u = 550 ÷ 275 = 2

Number of shirts sold on the first day
= 1 u
= 2

(b)
Total number of items left after the first day
= 24 u
= 24 x 2
= 48

Answer(s): (a) 2; (b) 48