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Li Xin, Maddy and Caro have saved some allowance to buy a gift for their father. The ratio of Li Xin's to Maddy's savings is 2 : 7. The ratio of Maddy's to Caro's savings is 4 : 7. If Li Xin has saved $96, how much has Caro saved?

Question

Li Xin, Maddy and Caro have saved some allowance to buy a gift for their father. The ratio of Li Xin's to Maddy's savings is 2 : 7. The ratio of Maddy's to Caro's savings is 4 : 7. If Li Xin has saved $96, how much has Caro saved?

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Solution

Step 1: Determine the ratio of Li Xin's to Maddy's savings. We know this is 2:7. Since Li Xin has saved 96,wecandeterminethevalueofeachpartofthisratiobydividing96, we can determine the value of each part of this ratio by dividing 96 by 2, which gives us $48.

Step 2: Determine how much Maddy has saved. Since each part of the ratio is worth 48,andMaddyspartoftheratiois7,wemultiply48, and Maddy's part of the ratio is 7, we multiply 48 by 7 to get $336.

Step 3: Determine the ratio of Maddy's to Caro's savings. We know this is 4:7. Since Maddy has saved 336,wecandeterminethevalueofeachpartofthisratiobydividing336, we can determine the value of each part of this ratio by dividing 336 by 4, which gives us $84.

Step 4: Determine how much Caro has saved. Since each part of the ratio is worth 84,andCarospartoftheratiois7,wemultiply84, and Caro's part of the ratio is 7, we multiply 84 by 7 to get $588.

So, Caro has saved $588.

This problem has been solved

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