Bowl S contains only marbles. If (1/4) of the marbles were removed, the bowl would be filled to (1/2) of its capacity. If 100 marbles were added, the bowl would be full. How many marbles are in bowl S?
Solution
Correct Answer: Option B
Let
there are x number of marbles and capacity of the bowl is y marbles
3x/4 = y/2
⇒ y = 3x/2
x + 100 = y
⇒ x + 100 = 3x/2
⇒ (3x/2) - x = 100
⇒ x/2 = 100
∴ x = 200
there are x number of marbles and capacity of the bowl is y marbles
3x/4 = y/2
⇒ y = 3x/2
x + 100 = y
⇒ x + 100 = 3x/2
⇒ (3x/2) - x = 100
⇒ x/2 = 100
∴ x = 200
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