Question

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Answer 1

If there are 12 green marbles present, then there are 32 orange marbles present as well.

Explanation:

In the problem, we are given that the ratio of red marbles to blue marbles is the same as to the ratio of green marbles to orange marbles. There are 18 red marbles and 48 blue marbles. We can set up a ratio for these marbles.

18 : 48

Now, lets reduce this ratio.

3 : 8

If there are 12 green marbles, then the ratio between the unknown number of orange marbles and the green marbles has to equal to 3 : 8.

3 : 8 can also be written as the fraction,
`(3)/(8)`

Now, lets set up our equation so we can find the orange marbles.

`(3)/(8)* (12)/(?)`

We will cross multiply.

`(96)/(3)` = 32

So, there are a total of 32 orange marbles.