# Question #7588c

Dec 23, 2016

Any multiple of 5 greater than 20 is a possible number of marbles.

#### Explanation:

There are many, many possible answers to this question.

If there are exactly 20 marbles in the bag, how many of each colour are there?

$\frac{2}{5} \times 20 = 8 \text{ and } \frac{3}{5} \times 20 = 12$
There will be 8 white and 12 blue marbles, meaning 20 altogether.

Remember that a ratio can be written as a fraction:
We can write the following equivalent fractions:

$\text{white"/"blue} = \frac{2}{3} = \frac{8}{12} = \frac{10}{15} = \frac{12}{18} = \frac{14}{21}$ and so on.

The possible number of marbles in the bag could be:

$25 , 30 , 35 , 40 , 45 , \ldots .$ in fact any multiple of 5 greater than 20.

(Note that 2+3 = 5)