Question

I have 28 red and blue marbles. The ratio of red to blue is 1:6. How many blue marbles do I have

Answer 1

24

4 red marbles and 24 blue

Answer 2

You have 24 blue marbles.

Explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of red marbles.

y is the number of blue marbles.

28 red and blue marbles

This means that
`x + y = 28`

The ratio of red to blue is 1:6.

This means that for each red marble(x), we have 6 blue marbles(y). So

y = 6x.

Then

`x + y = 28`

`x + 6x = 28`

`7x = 28`

`x = 4`

We want the number of blue marbles(y)

`x + y = 28`

`4 + y = 28`

`y = 24`

You have 24 blue marbles.