A bag contains 6 red marbles, 5 yellow marbles, and 7 green marbles. How many additional red marbles must …
be added to the 18 marbles already in the bag so that the probablity of randomly drawing a red marble is 3/5?
12 red marbles.
You would then have 18 red marbles in a bag of 30.
18/30 = 3/5
You can come up with an algebraic expression to solve:
(x + 6)/(x + 18) = 3/5
“(# of red marbles + x) divided by (# of total marbles + x) equals the ratio 3/5″
Cross multiply to get:
5x + 30 = 3x + 54
2x = 24
x = 12
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