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?
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
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