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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 ### 1+0 Answers #1 0 $$=> {x \over y -35} = {11 \over 4}$$ $${x - 35 \over y} = {2 \over 3}$$ 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