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tommy and annie are given sm money they share it in ration 2:7 annie gets $100 more than tommy how much money r they given in total

Question

Tommy and Annie's Money Sharing Problem

Tommy and Annie are given some money they share it in ratio 2:7.
Annie gets $100 more than Tommy.
How much money are they given in total?

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Solution

Sure, let's solve this step by step:

  1. The ratio of the money Tommy and Annie share is 2:7. This means for every 2 parts Tommy gets, Annie gets 7 parts.

  2. We know that Annie gets 100morethanTommy.Thisdifferenceof100 more than Tommy. This difference of 100 corresponds to the difference in their parts of the ratio, which is 7 - 2 = 5 parts.

  3. Therefore, each part of the ratio is worth 100/5=100 / 5 = 20.

  4. To find the total amount of money they were given, we add up all the parts of the ratio. The ratio 2:7 adds up to 2 + 7 = 9 parts.

  5. Since each part is worth 20,thetotalamountofmoneyis9parts20, the total amount of money is 9 parts * 20/part = $180.

So, Tommy and Annie were given $180 in total.

This problem has been solved

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