Question

Kelly has 14 blue marbles, 21 green marbles, 31
multi-colored marbles and 9 smokey marbles. How
many marbles does she have?

Answer 1

Answer:

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We know the original amount of marbles would be an equation like:

18/45x + 25/45x + 2/45x = x

But this is redundant right? Of course, x = x and that would tell us nothing. It would have an infinite amount of solutions for x. We need to narrow our x somehow. How do we do that?

The second equation will do it for us:

2/45x = 18/45x - 32

16/45x = 32

(45/16)(16/45)x = 32(45/16)

x = 90

So now we know how many marbles we had. We know (18/45)(90) = the number of blue marbles. (2/45)(90) = the number of purple marbles. (25/45)(90) = the number of green marbles.

Blue = 36

Purple = 4

Green = 50

Step-by-step explanation:

Answer 2

Step-by-step explanation:

We know the original amount of marbles would be an equation like:

18/45x + 25/45x + 2/45x = x

But this is redundant right? Of course, x = x and that would tell us nothing. It would have an infinite amount of solutions for x. We need to narrow our x somehow. How do we do that?

The second equation will do it for us:

2/45x = 18/45x - 32

16/45x = 32

(45/16)(16/45)x = 32(45/16)

x = 90

So now we know how many marbles we had. We know (18/45)(90) = the number of blue marbles. (2/45)(90) = the number of purple marbles. (25/45)(90) = the number of green marbles.

Blue = 36

Purple = 4

Green = 50