Xandra's shop sold jackets and blazers. The jackets were sold at $50 each and each blazer was sold at ³₅ of the price of each jacket. Xandra sold ¹₂ of the items on the first day and collected $3910. ⁴₅ of the items sold on the first day were jackets.

1. How many blazers 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
Jackets	Blazers
4x1	1x1
4 u	1 u	5 u	10 u

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

	Jackets	Blazers	Total
Number	4 u	1 u	5 u
Value	$50	$30
Total value	200 u	30 u	230 u

Cost of each blazer
= ³₅ x 50
= $30

Total amount collected from selling the jackets and the blazers on the first day
= 200 u + 30 u
= 230 u

230 u = 3910

1 u = 3910 ÷ 230 = 17

Number of blazers sold on the first day
= 1 u
= 17

(b)
Total number of items left after the first day
= 5 u
= 5 x 17
= 85

Answer(s): (a) 17; (b) 85