Asked by joi
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)
Answers
Answered by
Reiny
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
= 2x/3
"The difference in their amount is 1/2 of Adam's money" ---> 2x/3 = (1/2)z
z = 4x/3
after give-away:
Adam has 4x/3 - 120
so 4x/3 - 120 = 2x/3
times 3
4x - 360 = 2x
2x = 360
x = 180
Sam has 180
Jane has 300
Adam has 240 , together they have 720
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
= 2x/3
"The difference in their amount is 1/2 of Adam's money" ---> 2x/3 = (1/2)z
z = 4x/3
after give-away:
Adam has 4x/3 - 120
so 4x/3 - 120 = 2x/3
times 3
4x - 360 = 2x
2x = 360
x = 180
Sam has 180
Jane has 300
Adam has 240 , together they have 720
Answered by
joi
I am unable to understand the algebra method, could you simplify?
Answered by
bobpursley
Joi, you need a personal tutor.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.