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Kelvin and Danny had some money. They wanted to buy a toy that cost $35. If only Kelvin paid, the ratio of his money left to Danny's money would be 2:3. If only David paid, the ratio of Kelvin's money to the money Danny had left would be 11:4.

(a) What was the ratio of Kelvin's money to Danny's money?

(b) How much money did the boys have altogether?

 Sep 13, 2021
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\(=> {x \over y -35} = {11 \over 4}\)
\({x - 35 \over y} = {2 \over 3}\)
3(x-35)=2y

=> 3x-105=2y

=> 3x-2y=105

=>4x=11(y-35)

    4x=11y-385

   4x-11y=-385

12x-8y=420

12x-33y=-1155

    12x-8y=420

    12x-33y=-1155

            25y=1575

=> y = 1575/25

=> y = 63

   => 3x-2y=105

        3x-2(63)=105

        3x=105+126

        3x=231

          x=231/3

          x=77

a) Ratio of Kelvin's money to Danny's money

       = 77/63 = 11/9 = 11:9

b) Boys have together $(x+y)

                                 = $(77+63)

                                 = $140

 Dec 8, 2021

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