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Roni has 25 sweets and Tony has 55 sweets. How many sweets should Roni give to Tony so that Tony has four times as many sweets as Roni?
  1. 5
  2. 7
  3. 9
  4. None of these
Explanation

Let the number of sweets Roni gives to Tony be x.

After giving x sweets: Roni will have 2 25−x sweets.

Tony will have 55+x sweets.

We want Tony to have four times as many sweets as Roni, so: 55 + x = 4 ( 25 − x )


  1. Expand the equation:

    55+x=1004x55 + x = 100 - 4x
  2. Add
    4x
    to both sides to combine the xx-terms:

    55+5x=10055 + 5x = 100
  3. Subtract 5 from both sides:

    5x=455x = 45
  4. Solve for
    x
    :

    x=45/5=9

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