The ratio of Ali's savings to Jack's savings is 7 : 13. If Jack has $494 savings, how much must Jack give to Ali so that both will have the same amount?
Question
The ratio of Ali's savings to Jack's savings is 7 : 13. If Jack has $494 savings, how much must Jack give to Ali so that both will have the same amount?
Solution
To solve this problem, we need to follow these steps:
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Determine the total savings of both Ali and Jack. We know that Jack has 13 Jack has, Ali has $7. So, if we divide Jack's savings by his part of the ratio, we can find the value of 1 part.
38 per part
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Now, we can find out how much Ali has saved by multiplying the value of 1 part by Ali's part of the ratio.
266
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To make their savings equal, we need to find the difference between Jack's savings and Ali's savings.
266 = $228
So, Jack must give $228 to Ali for both of them to have the same amount of savings.
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