Zara's shop sold sweaters and shirts. The sweaters were sold at $120 each and each shirt was sold at ³₄ of the price of each sweater. Zara sold ¹₆ of the items on the first day and collected $11250. ³₄ of the items sold on the first day were sweaters.

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
1x4		5x4	6x4
Sweaters	Shirts
3x1	1x1
3 u	1 u	20 u	24 u

The total number of sweaters and shirts sold is repeated.  Make the total number of sweaters and shirts sold the same.  LCM of 4 and 1 is 4.

	Sweaters	Shirts	Total
Number	3 u	1 u	4 u
Value	$120	$90
Total value	360 u	90 u	450 u

Cost of each shirt
= ³₄ x 120
= $90

Total amount collected from selling the sweaters and the shirts on the first day
= 360 u + 90 u
= 450 u

450 u = 11250

1 u = 11250 ÷ 450 = 25

Number of shirts sold on the first day
= 1 u
= 25

(b)
Total number of items left after the first day
= 20 u
= 20 x 25
= 500

Answer(s): (a) 25; (b) 500