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Three sisters, Alice, Bernice and Claire, shared a sum of money in the ratio 3 : 2 : 1.Alice received $84 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 3 : 2 : 1.Alice received 84morethanClaire.HowmuchmoneydidBernicereceive?Beinicereceived84 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 3 (for Alice) + 2 (for Bernice) + 1 (for Claire) = 6.

We know that Alice received 84morethanClaire.Intermsoftheratio,Alicehas3partsandClairehas1part,sothese2partsareequivalentto84 more than Claire. In terms of the ratio, Alice has 3 parts and Claire has 1 part, so these 2 parts are equivalent to 84. Therefore, 1 part is equal to 84/2=84 / 2 = 42.

To find out how much Bernice received, we multiply her ratio (2) by the value of 1 part (42).So,Bernicereceived242). So, Bernice received 2 * 42 = $84.

This problem has been solved

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