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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? 

 Jul 8, 2021

Best Answer 

 #1
avatar+282 
+3

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

 Jul 8, 2021
 #1
avatar+282 
+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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