Question

A jar consists of red, green, and blue marbles in the ratio of 10:3:1. If the jar contains a total of 126 marbles, how many of the marbles are green?

Answer 1

There are `27` green marbles

Explanation:

the ratio of the marbles is `10:3:1`
and total marbles are :- `126`
therefore ,
`126=10x + 3x + 1x`
`126 =14x`

therefore,
`x = 126/14`
`x = 9`

therefore there are

`10xx9` red marbles `= 90` red marbles
`3xx9` green marbles `= 27` green marbles
`1xx9` blue marbles `= 9` blue marbles

Answer 2

`27` green marbles

Explanation:

The ratio of red : green : blue is

`10" ":" "3" ":" "1`

This means that there are `10+3+1 = 14` 'parts'.

Of the `14` parts, `10` are red, `3` are green and `1` is blue

As fractions we then have:

`"Red": 10/14 " Green": 3/14 " Blue": 1/14`

If the total of all the marbles is `126` we could find how many there are of each colour, but we only need Green:

Green: `3/14 xx126 = 27` marbles