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 )
answered when you were Jules
To solve this problem, let's start by assigning variables to the original amounts for each boy.
Let's say:
x = original amount for Harry (since x is used in the hint)
y = original amount for Tom
z = original amount for
We are given that Harry receives $2.10 from Tom and $1 from . So, after receiving these amounts, Harry's total would be x + $2.10 + $1 = x + $3.10.
Tom gives Harry $2.10 so that they both have the same amount after the transfer. So, initially, Tom had y dollars, and after giving $2.10, Tom would have y - $2.10.
gives $1 to Harry so that they both have the same amount after the transfer. So, initially, had z dollars, and after giving $1, would have z - $1.
Now, let's set up the equation based on the information given:
x + $3.10 = y - $2.10 (Harry and Tom have the same amount after the transfer)
x + $3.10 = z - $1 (Harry and have the same amount after the transfer)
We know that the sum of the amounts for all three brothers is $107.60:
x + y + z = $107.60
Now, we have a system of three equations and three variables:
x + $3.10 = y - $2.10
x + $3.10 = z - $1
x + y + z = $107.60
We can now solve this system of equations to find the original amounts for each boy.