Posted by joi on Wednesday, December 28, 2011 at 9:06am.
1/5 of Jane's money is equal to 1/3 of Sam's money. The difference in their amount is 1/2 of Adam's money. If Adam gives $120 to Sam, Sam will have the same amount of money as Jane. How much do the 3 people have altogether?(non-algebra solution pls)
- maths - Reiny, Wednesday, December 28, 2011 at 9:34am
Sam's money --- x
Jane's money --- y
y/5 = x/3
3y = 5x
y = 5x/3
Adam's --- z
difference in amount of Sam and Jane = 5x/3 - x
"The difference in their amount is 1/2 of Adam's money" ---> 2x/3 = (1/2)z
z = 4x/3
Adam has 4x/3 - 120
so 4x/3 - 120 = 2x/3
4x - 360 = 2x
2x = 360
x = 180
Sam has 180
Jane has 300
Adam has 240 , together they have 720
- maths - joi, Wednesday, December 28, 2011 at 9:53am
I am unable to understand the algebra method, could you simplify?
- maths - bobpursley, Wednesday, December 28, 2011 at 11:59am
Joi, you need a personal tutor.
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