Afather gave 1/6 of his money to his daughter and gave 1/5 of the remaining to his son and the father was left with $600. whats the total amount of money he gave to his children?

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Assume M is the Total Money

M/6 + (1/5)(M - M/6) + $600 = M

M/6 + M/5 - M/30 + $ 600 = M

M/6 + M/5 - M/30 - M = -$600

(1/6 + 1/5 - 1/30 - 1)M = -$600

-2M/3 = -$600

2M/3 = $600

M = ($600)(3/2)

M = $900

so the total money is $900
but the money he gave to his children is only 1/3 of the Total Money(M)

therefore,
=(1/3)($900)
=$300

$300 is the total money he gave to his children

The answer that i got was 8/3