Question

A bag contains 8 red marbles, 9 yellow marbles, and

7 green marbles. How many additional red marbles
must be added to the 24 marbles already in the bag so
that the probability of randomly drawing a red marble
is 3/5?
A. 11
B. 16
C. 20
D. 24
E. 32

Answer 1

x = 16

Explanation:

`(8+x)/(24+x)=(3)/(5)\\ \\ 5(8+x)=3(24+x)\\\\40+5x=72+3x\\\\5x=32+3x\\\\2x=32\\\\x=16`