Tom, , and Harry are three brothers and have $107.60 together. Tom feels sorry for hairy because he has less money than Tom. So Tom gives harry $2.10 so they both will have the same amount after the transfer. doesn't know about Tom's gift and he gives $1 to Harry. So and Harry will have the same amount after the transfer. What was the original amount for each boy. ( Hint let x equal original amount of Harry )
same question from Bobby/Jules/Alice
To solve this problem, let's start by setting up equations based on the information given.
Let's assume that Harry's original amount is represented by x dollars.
According to the problem, Tom gave $2.10 to Harry, so Tom's new amount would be x - 2.10 dollars, and Harry's new amount would be x + 2.10 dollars.
Then, gave $1 to Harry, so 's new amount would be x - 1 dollars, and Harry's new amount would be x + 3.10 dollars.
Now we can set up equations based on the information given:
Tom's new amount + Harry's new amount = $107.60:
(x - 2.10) + (x + 2.10) = 107.60
Simplifying the equation, we get:
2x = 107.60
x = 53.80
So, Harry's original amount was $53.80.
To find out Tom's original amount, we can substitute the value of x back into the equation for Tom's new amount:
Tom's original amount = x - 2.10
Tom's original amount = 53.80 - 2.10
Tom's original amount = 51.70
Therefore, Tom's original amount was $51.70.
Lastly, to find out 's original amount, we can substitute the value of x into the equation for 's new amount:
's original amount = x - 1
's original amount = 53.80 - 1
's original amount = 52.80
Therefore, 's original amount was $52.80.
To summarize:
- Harry's original amount was $53.80.
- Tom's original amount was $51.70.
- 's original amount was $52.80.