Emma made a profit of 50% from the sale of a windbreaker and a profit of 60% from the sale of a vest. The total profit she made from the two items was $67. She later sold a similar windbreaker at a discount of 25% off the advertised price. Her total profit for the three items then increased to $68.75.

1. Find the profit made on the vest.
2. How much did she sell the vest for?

	Windbreaker 1	Vest 1	Windbreaker 2
Cost Price	2 u	5 p	2 u
Profit	+ 1 u	+ 3 p	+ 1 u
Selling Price	3 u	8 p	3 u
Discount			- 0.75 u
Discounted Price			2.25 u

100% + 50% = 150%
150% = ¹⁵⁰₁₀₀ = ³₂

100% + 60% = 160%
160% = ¹⁶⁰₁₀₀ = ⁸₅

(a)
Selling price of the windbreaker
= 100% of the price of the windbreaker + 50% of the price of the windbreaker
= 2 u + 1 u
= 3 u

Selling price of the vest
= 100% of the price of the vest + 60% of the price of the vest
= 5 p + 3 p
= 8 p

Price of the second windbreaker after 25% discount in percentage
= 100% - 25%
= 75%

Price of the second windbreaker after 25% discount in units
= 75% x 3 u
= ⁷⁵₁₀₀ x 3 u
= 2.25 u

Profit made for the second windbreaker in units
= 2.25 u - 2 u
= 0.25 u

0.25 u = 68.75 - 67 = 1.75

1 u = 1.75 ÷ 0.25 = 7

1 u + 3 p = 67
1 x 7 + 3 p = 67
7 + 3 p = 67

3 p
= 67 - 7
= $60

Profit made on the vest = $60

(b)
1 p = 60 ÷ 3 = 20

Selling price of the vest
= 8 p
= 8 x 20
= $160

Answer(s): (a) $60; (b) $160