+151 Philip and Mark each had an equal amount of money at first. After Philip spent $50 and Mark spent 1/3 of his money, the ratio of Philip's money to Mark' money was 5 : 4. How much money had Philip left?
+876 $\frac{p-50}{m-\frac{1}{3}m} = \frac{5}{4}$
$\frac{p-50}{\frac{2}{3}m} = \frac{5}{4}$
$p-50(4) = 5 \frac{2}{3}m$
$4p - 200 = \frac{10}{3}m$
$2p - 100 = \frac{5}{3}m$
$6p - 300 = 5m$
Remember: $p = m$
$6p - 300 = 5p$
$p = 300$
$300 - 50 = \boxed{250}$
+313 Let:
Before:
Philip's money = x dollars
]
Mark's money = x dollars
After: Accoriding to question:
Philip's money = (x - 50) dollars
Mark's money = ( x - \(xx {1 \over 3}{}{}\)) = \( {2x \over 3}{}{}\)dollars
According to question:
x-50/2x/3 = 5/4
3 (x-50)/2x = 5/4
3x-150/2x 5/4
12x - 600 = 10x
12x - 10x = 600
2x = 600
x = 300 dollars
So,
Philip had remaining money = x - 50 = 300 - 50 = $250
