Natalie's shop sold jumpsuits and shirts. The jumpsuits were sold at $80 each and each shirt was sold at ³₄ of the price of each jumpsuit. Natalie sold ¹₄ of the items on the first day and collected $6160. ²₃ 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
1x3		3x3	4x3
Jumpsuits	Shirts
2x1	1x1
2 u	1 u	9 u	12 u

The total number of jumpsuits and shirts sold is repeated.  Make the total number of jumpsuits and shirts sold the same.  LCM of 3 and 1 is 3.

	Jumpsuits	Shirts	Total
Number	2 u	1 u	3 u
Value	$80	$60
Total value	160 u	60 u	220 u

Cost of each shirt
= ³₄ x 80
= $60

Total amount collected from selling the jumpsuits and the shirts on the first day
= 160 u + 60 u
= 220 u

220 u = 6160

1 u = 6160 ÷ 220 = 28

Number of shirts sold on the first day
= 1 u
= 28

(b)
Total number of items left after the first day
= 9 u
= 9 x 28
= 252

Answer(s): (a) 28; (b) 252