F.2 maths Applications Of Simultaneous Linear Equation

2008-02-18 12:54 am
Use method of substitution or method of elimination to solve the simultaneous equation.

2. A sum of money is divided between Amy and Bob in the ratio 7 : 4. If Amy gives $600 to Bob, the new ratio is 5 : 6.
(a) How much does Amy and Bob get originally?
(b) What is the sum of money?

回答 (1)

2008-02-18 1:23 am
✔ 最佳答案
(a)
Let Amy and Bob get $7x and $4x originally
If Amy gives $600 to Bob, the new ratio is 5 : 6.

7x-600 : 4x+600=5 : 6
7x-600 / 4x+600=5 / 6
5(4x+600)=6(7x-600)
20x+3000=42x-3600
22x=6600
x=300
Therefore, Amy gets $2100 and Bob gets $1200 originally
(b)
the sum of money
=Amy gets originally + Bob gets originally
=4x+7x
=11x
=3300


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