Please help me answer this question cos i'm going to have a math test soon...

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Please help me answer this question cos i'm going to have a math test soon...

[From: ] [author: ] [Date: 12-02-18] [Hit: ]

. m = 4p(p-5).. m(p+4) = mp + 10p(p+4) .........

.. m = 4p(p-5)

.. m(p+4) = mp + 10p(p+4) ... second equation
.. 4m = 10p(p+4) ... subtract mp

.. 4(4p(p-5)) = 10p(p+4) ... combine results so far
.. 16(p-5) = 10(p+4) ... divide out p
.. 6p = 120 ... add 80-10p
.. p = 20
.. m = 4*20*15 = 1200

The man distributed $1200.

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Let x = amount of money , n = number of people and m = amount a money received

x/n = m (1)
so x= mn

x / (n-5) = m +20 (2)
so x = (m+20)(n-5)
= mn -5m +20n -100
mn = mn -5m +20n -100 //// from (1) x = mn
100 = -5m +20n (4)

x / (n +4) = m -10 (3)
x = (m-10)(n+4)
= mn +4m -10n -40
mn = mn +4m -10n -40
40 = 4m -10n
80 = 8m -20n (5)
(4) +(5) gives 180 = 3m
so m = 180/3 = 60
Sub. m =60 into (5)
80 = 8(60) -20n
20n = 480 -80
= 400
n = 400/20 = 20
x = mn = 60*20 = 1200
The man has $1200 to give away

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he is distributing $337.5

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