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2/3 of Henry's money is equal to 3/5 of Jack's money. Jack has $42 more than Henry. How much money does Jack have?

Robtlukas Jul 8, 2021

Best Answer

+313

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Let Henry's and Jack's money be X and Y.

Therefore according to question

${2x \over 3}{}{}$ = ${3y \over 5}{}{}$

${x\over y}{}{}$ = ${9 \over 10}{}{}$

X = ${9y \over 10}{}{}$

Also, Y = $42 + X

Y = $42 + ${9y \over 10}{}{}$

10Y = $420 + 9Y

Therefore, Y = $420

apsiganocj Jul 8, 2021

1⁺⁰ Answers

+313

+3

Best Answer

Let Henry's and Jack's money be X and Y.

Therefore according to question

${2x \over 3}{}{}$ = ${3y \over 5}{}{}$

${x\over y}{}{}$ = ${9 \over 10}{}{}$

X = ${9y \over 10}{}{}$

Also, Y = $42 + X

Y = $42 + ${9y \over 10}{}{}$

10Y = $420 + 9Y

Therefore, Y = $420

apsiganocj Jul 8, 2021

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