Daniel spent $\frac{4}{6}$ $4/6$ of his pocket money in one day. If he spent $$ 138$ $$138$ on that day, how much money did he start with?

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Answer 1 · 2017-12-03T20:46:54

The whole is 207.

Let the whole be x.

$138 = \frac{4}{6} x$ $138=4/6x$

$828 = 4 x$ $828=4x$

$207 = x$ $207=x$

$x = 207$ $x=207$

Answer 2 · 2017-12-04T17:33:46

$207$ $207$

You are comparing $\frac{4}{6}$ $4/6$ with $\frac{6}{6}$ $6/6$ which is the whole.

If $138$ $138$ represents $4$ $4$ parts, then how much represents $6$ $6$ parts.

$\frac{138}{x} = \frac{4}{6} \leftarrow$ $138/x = 4/6" "larr$ cross multiply

$4 x = 138 \times 6$ $4x = 138xx6$

$x = \frac{138 \times 6}{4}$ $x = (138xx6)/4$

$x = 207$ $x = 207$

YOu can also increase $138$ $138$ in the ratio $3 : 2$ $3:2$

$138 \times \frac{3}{2} (\frac{4}{6} = \frac{2}{3})$ $138 xx 3/2" " (4/6 = 2/3)$

$= 207$ $=207$

Daniel spent 464/6 of his pocket money in one day. If he spent $138$138 on that day, how much money did he start with?