Xuan's shop sold skirts and sweaters. The skirts were sold at $60 each and each sweater was sold at ¹₄ of the price of each skirt. Xuan sold ¹₃ of the items on the first day and collected $5070. ³₄ of the items sold on the first day were skirts.

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

(a)

Sold		Unsold	Total
1x4		2x4	3x4
Skirts	Sweaters
3x1	1x1
3 u	1 u	8 u	12 u

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

	Skirts	Sweaters	Total
Number	3 u	1 u	4 u
Value	$60	$15
Total value	180 u	15 u	195 u

Cost of each sweater
= ¹₄ x 60
= $15

Total amount collected from selling the skirts and the sweaters on the first day
= 180 u + 15 u
= 195 u

195 u = 5070

1 u = 5070 ÷ 195 = 26

Number of sweaters sold on the first day
= 1 u
= 26

(b)
Total number of items left after the first day
= 8 u
= 8 x 26
= 208

Answer(s): (a) 26; (b) 208