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Bobby has a certain amount of money. Gregory and Timmy only have 60% and 15% of this amount respectively. In total, they have $133 together. How much does Bobby need to give to Timmy, so that Timmy would have the same amount of money as Gregory?A$27.50B$31C$32.30D$38.30ENone of the above

Question

Bobby has a certain amount of money. Gregory and Timmy only have 60% and 15% of this amount respectively. In total, they have 133together.HowmuchdoesBobbyneedtogivetoTimmy,sothatTimmywouldhavethesameamountofmoneyasGregory?A133 together. How much does Bobby need to give to Timmy, so that Timmy would have the same amount of money as Gregory?A27.50B31C31C32.30D$38.30ENone of the above

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Solution

Let's solve this step by step:

  1. First, let's denote the amount of money Bobby has as B. According to the problem, Gregory has 60% of B and Timmy has 15% of B. So, we can write the total amount of money they have together as B + 0.6B + 0.15B = $133.

  2. Simplifying the left side of the equation gives us 1.75B = $133.

  3. To find the value of B, we divide 133by1.75,whichgivesusB=133 by 1.75, which gives us B = 76.

  4. Now, we know that Gregory has 60% of B, which is 0.6 * 76=76 = 45.60, and Timmy has 15% of B, which is 0.15 * 76=76 = 11.40.

  5. To make Timmy have the same amount of money as Gregory, Bobby needs to give Timmy 45.60−45.60 - 11.40 = $34.20.

So, the answer is None of the above.

This problem has been solved

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