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#31040

statistics

probability

hard

120 sec

A bag contains $x$ red marbles, $y$ blue marbles, and $z$ green marbles. If a marble is selected at random from the bag, the probability of selecting a red marble is $\frac{1}{3}$ . If 5 red marbles are added to the bag, the probability of selecting a red marble becomes $\frac{2}{5}$ . What is the value of $x$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.