Sara has 400 marbles. If she gives (1/5)th of her marbles to Sam and Sam gives…
2024
Sara has 400 marbles. If she gives (1/5)th of her marbles to Sam and Sam gives (3/4)th of his marbles to David, then how many marbles does Sam have left?
- A.
80
- B.
20
- C.
60
- D.
200
Attempted by 2 students.
Show answer & explanation
Correct answer: B
Step-by-Step Solution
To find out how many marbles Sam has left, we need to track the marble transfers step-by-step.
Determine marbles received by Sam:
Sara starts with 400 marbles.
Sara gives 1/5th of her marbles to Sam.
Sam's initial amount = (1/5) * 400 = 80 marbles.
Determine marbles transferred by Sam:
Sam gives 3/4th of his marbles to David.
Marbles given to David = (3/4) * 80 = 60 marbles.
Calculate Sam's remaining marbles:
Sam's remaining marbles = Total marbles Sam had - Marbles given to David
Sam's remaining marbles = 80 - 60 = 20 marbles.