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 )

Question

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 )

Answer 1

Let x be Harry's original amount of money.

Let y be Tom's original amount of money.
Let z be 's original amount of money.
x + y + z = 107.60
x + 2.10 + x + 2.10 + z = 107.60
x + 3.10 + x + 2.10 + x + 3.10 = 107.60

Solve the system of equations.

Answer 2

How come You add 2.10 twice

Answer 3

Okay thanks got it

Answer 4

To solve this problem, let's assign variables to represent the original amount each boy had.

Let:
- T: Tom's original amount
- D: 's original amount
- H: Harry's original amount (we'll assign x to this variable as hinted)

We know that the three brothers together had $107.60, so we can set up the equation:
T + D + H = 107.60

Tom gives $2.10 to Harry, so Tom is left with T - 2.10, and Harry now has H + 2.10. After this transaction, both Tom and Harry will have the same amount of money, so we can set up another equation:
T - 2.10 = H + 2.10 -> Equation 1

Next, gives $1 to Harry, so is left with D - 1, and Harry now has H + 2.10 + 1 = H + 3.10. After this transaction, both and Harry will have the same amount of money, so we can set up another equation:
D - 1 = H + 3.10 -> Equation 2

We now have two equations with two unknowns, so we can solve them simultaneously. Let's substitute the value of T from Equation 1 into Equation 2:

(H + 2.10) - 2.10 = H + 3.10
H = H + 3.10 + 2.10 - 2.10

Simplifying the right side:
H = H + 3.10 + 2.10 - 2.10
H = H + 3.10

Subtracting H from both sides:
0 = 3.10

Uh-oh! The equation we obtained is not possible because it results in an inconsistency (0 = 3.10). This means that there is no solution to this problem. It seems there might be an error or missing information in the given problem statement. Please double-check the problem and provide any additional information if available.