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Tony has twice as much money as Alicia. She has $16 less than Ralph. Together they all total $200. How much does tony have?

User MK Vimalan
by
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2 Answers

4 votes

Final answer:

After setting up the variables and solving the equations, we find that Alicia has $46, and since Tony has twice as much, he has $92.

Step-by-step explanation:

Let's define the following variables based on the information given:

  • Let A be the amount of money Alicia has.
  • Tony has twice as much money as Alicia, so he has 2A.
  • Ralph has $16 more than Alicia, so he has A + $16.

The total amount of money they all have together is $200, which gives us the equation:

A + 2A + (A + $16) = $200

Solving the equation step-by-step:

  1. Combine like terms: 4A + $16 = $200
  2. Subtract $16 from both sides to isolate the variable terms: 4A = $184
  3. Divide both sides by 4 to solve for A: A = $46

Now that we know Alicia has $46, we can find out how much Tony has:

Tony has 2A, which is 2 x $46, so Tony has $92.

User Derigible
by
7.9k points
4 votes
subtract 200 by 16 and you get 184. So 184 is your answer
User Rekin
by
7.9k points

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