Respuesta :
Answer:
48
Step-by-step explanation:
m - (1/3)m - (1/4)(2/3)m = 24
m - (1/3)m - (1/6)m = 24
m - (2/6)m - (1/6)m = 24
m - (3/6)m = 24
m - (1/2)m = 24
(1/2)m = 24
m = 48
Penny had a bag of marbles. She gave the marbles,
- One third of them to Rebecca
- Then one fourth to John
- Remaining marbles with Penny were 24.
Let the number of marbles in the bag = [tex]x[/tex]
Number of marbles Rebecca received = [tex]\frac{x}{3}[/tex]
Remaining marbles in the bag = [tex]x-\frac{x}{3}[/tex]
= [tex]\frac{2x}{3}[/tex]
Number of marbles Penny gave to John = [tex]\frac{1}{4}(\frac{2x}{3} )[/tex]
= [tex]\frac{x}{6}[/tex]
Number of marbles remaining in the bag = [tex]\frac{2x}{3}-\frac{x}{6}[/tex]
= [tex]\frac{4x-x}{6}[/tex]
= [tex]\frac{x}{2}[/tex]
Since, marble remaining with Penny = 24
[tex]\frac{x}{2}=24[/tex]
[tex]x=48[/tex]
Therefore, 48 marbles were in the bag in the starting.
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