# maths

A fruit drink is made by mixing juice and lemonade in the ratio :
1 : 4

Juice costs £6.00 per litre. Lemonade costs 50p per litre.

a) show that 1 litre of the fruit drink costs £1.60 to make.

b) The fruit drink is sold for £2 a litre. Work out the percentage profit.

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1. Juice = x Liters.

x + 4x = 1 Liter.
X = 0.2 Liters.
4X = 4*0.2 = 0.8 Liters.
=
a. Cost = 0.2*6 + 0.8*0.5 \$1.60.

b. Profit = Sale Price-Cost = 2.00-1.60 = 0.40.

%Profit = (Profit/Cost)*100 =

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2. 1 liter of punch is 1/5 juice, 4/5 lemonade

so, the cost is
1/5 * 6.00 + 4/5 * 0.50 = 1.20+0.40 = 1.60

the profit per liter is 2.00-1.60 = 0.40

0.40/1.60 = 0.25 = 25% profit
(based on cost)

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3. a. Cost = 0.2*6 + 0.8*0.5 = \$1.60.

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4. It costs £1.60 to make 1 litre of a fruit drink.

The fruit drink is sold for £2 a litre.

Work out the percentage profit.

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2. 👎 0

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