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Andy and his friend sam were walking along the road together. andy had a big bag of marbles. unfortunately the bottom of the bag split and all the marbles spilled out. poor andy! one third of the marbles rolled down the slope too quickly for andy to pick them up. one sixth of all the marbles disappeared into the rain-water drain. andy and sam picked up all they could but half of the marbles that remained nearby were picked up by other children who ran off with them. andy counted all the marbles he and sam had rescued. he gave one third of these to sam for helping him pick them up. andy put his remaining marbles into his pocket. there were 14 of them. how many marbles were there in andy's bag before the bottom split?

Respuesta :

The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.

Let, the total number of marbles Andy have in the bad in beginning = x

One third of the marbles rolled down the slope too quickly for Andy to pick them up. So we can write,

Total number of marbles Andy have now = x - (x/3)

One sixth of all the marbles disappeared into the rain-water drain. So, So we can write,

Total number of marbles Andy have now = x - (x/3) - (x/6) = (x/2)

Half of the marbles that remained nearby were picked up by other children who ran off with them. So, we can write

Total number of marbles Andy have now = (x/2) - (x/4) = (x/4)

Andy gave one third of these to Sam for helping him pick them up. So,

Total number of marbles Andy have now = (x/4) - (x/12) = (x/6)

Now, we have given that Andy have 14 marbles in the end in his pocket. On comparing it with above equation, we get

(x/6) = 14

⇒ x = 84

The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.

To know more about Solving Quadratic equations refer to the link:

https://brainly.com/question/18117039

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