F.1 maths!!!!! HELP!!!!(English) 急~

2008-01-06 8:27 am
F.1 Maths Question: ( Please answer by steps )

$2650 is divided among Peter, Tom and Mary. Peter has $170 less than twice the share of Mary.Tom had $320 more than one-third the share of Mary. Suppose Mary has $x.

1. Find the amount of money Mary has.

回答 (2)

2008-01-06 8:43 am
✔ 最佳答案
Mary has X,
Peter has 2X - 170
Tome has 1/3X +320

Then:
X + (2X -170) + (1/3X +320) = 2650
To find X = ?
3X -170 + 1/3X +320 =2650
3X +1/3X = 2650 +170 -320
3X +1/3X = 2500
3 (3X +1/3 X) = 3 (2500)
9X + X = 7500
10X = 7500
X =750

Mary has 750
2008-01-06 8:45 am
Let the amount of money share by Peter, Tom and Mary be x, y and z.
x+y+z=2650 ---(1)
2z-170 = x ---(2)
(1/3)z +320 = y ---(3)
Put (2)&(3) into (1):
(2z-170) + (1/3)z +320 + z = 2650
10z/3 = 2500
z=750, x=1330, y=570
Therefore, the amount of money Mary has $750
參考: my math knowledge


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