# Alice, belinda and christine shared a sum of money in the ratio 4:8:5 respectively. If alice and belinda received 84 more than christine, how much money did christine received?

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by aganaantonio

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by aganaantonio

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4x + 8x (alice and belinda's money)

5x + 84 (christine's money to be equal to A and B)

4x + 8x = 5x +84

4x + 8x - 5x = 84

7x = 84

divide both sides by 7

x= 12

alice: 4(12)= 48

belinda: 8(12)= 96

christine: 5(12) = 60

check:

alice + belinda = christine + 84

48 + 96 = 60 + 84

144 = 144