maths
posted by jade .
A fruit drink is made by mixing juice and lemonade in the ratio :
1 : 4
(juice : lemonade)
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.

Juice = x Liters.
Lemonade = 4x 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 PriceCost = 2.001.60 = 0.40.
%Profit = (Profit/Cost)*100 = 
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 2.001.60 = 0.40
0.40/1.60 = 0.25 = 25% profit
(based on cost) 
a. Cost = 0.2*6 + 0.8*0.5 = $1.60.
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