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Three sisters, Alice, Bernice and Claire, shared a sum of money in the ratio 5 : 4 : 2.Alice received $81 more than Claire.How much money did Bernice receive?Beinice received $

Question

Three sisters, Alice, Bernice and Claire, shared a sum of money in the ratio 5 : 4 : 2.Alice received 81morethanClaire.HowmuchmoneydidBernicereceive?Beinicereceived81 more than Claire.How much money did Bernice receive?Beinice received

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Solution

To solve this problem, we first need to understand the ratios. The total ratio is 5 (for Alice) + 4 (for Bernice) + 2 (for Claire) = 11.

We know that Alice received 81morethanClaire.Intermsoftheratio,Alicehas5partsandClairehas2parts,sothedifferenceis52=3parts.Thismeansthat3partsareequivalentto81 more than Claire. In terms of the ratio, Alice has 5 parts and Claire has 2 parts, so the difference is 5 - 2 = 3 parts. This means that 3 parts are equivalent to 81.

To find the value of 1 part, we divide 81by3,whichgivesus81 by 3, which gives us 27.

Now, to find out how much Bernice received, we multiply her ratio (which is 4) by the value of 1 part ($27).

So, Bernice received 4 * 27=27 = 108.

This problem has been solved

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