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posted by  miyuki on 11/7/2009 3:35:57 AM  |  status: Live  |  Earned Karma: 0

business maths

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Three families P, Q and R share 480 kg of rice. Q receives twice as much as P and R receives half much rice as Q. How much rice does each family get?

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posted by Mephisto on 11/7/2009 3:36:01 PM  |  status: Live
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Response Details:
Q receives twice as much as P, thus
Q = 2 * P --> P = Q / 2

R received half as much rice as Q, thus
R = Q / 2

The total amount of rice equals is shared, thus
480kg = P + Q + R

After substitution
480kg = Q / 2 + Q + Q / 2 = 2 * Q

therefore Q gets 480kg / 2 = 240kg
thus, P and R both get 240kg / 2 = 120kg
If you have a question about my response, feel free to message me.
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