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Ali and Mo share a sum of money in the ratio Ali : Mo = 9 : 7.Ali receives $600 more than Mo.Calculate how much each receives.

Question

Ali and Mo share a sum of money in the ratio Ali : Mo = 9 : 7.

Ali receives $600 more than Mo.

Calculate how much each receives.

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Solution

Sure, let's solve this step by step:

  1. The ratio of Ali to Mo is 9:7, which means for every 9 parts that Ali gets, Mo gets 7 parts.

  2. The difference in their parts is 9 - 7 = 2 parts. According to the problem, this difference of 2 parts is equal to $600.

  3. Now, we can find out the value of each part by dividing 600by2.So,eachpartisworth600 by 2. So, each part is worth 300.

  4. To find out how much Ali receives, we multiply his share of the ratio (9 parts) by the value of each part (300).So,Alireceives9300). So, Ali receives 9 * 300 = $2700.

  5. Similarly, to find out how much Mo receives, we multiply his share of the ratio (7 parts) by the value of each part (300).So,Moreceives7300). So, Mo receives 7 * 300 = $2100.

So, Ali receives 2700andMoreceives2700 and Mo receives 2100.

This problem has been solved

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