Question

Tyrone bought a bag of marbles. 1/4 of the marbles were blue, 1/8 were green and 1/5 of the remainder were yellow. If there were 24 yellow marbles, how many did he buy?

Answer 1

There are 192 marbles.

Explanation:

eight parts and 2/8 of them are blue and 1/8 of them are green, then you have 5/8 left and of those 5/8 only one of them are yellow, and we know that there are 24 yellow marbles. So 1/8=24 marbles. Then, you would multiply 24x8=192

There are 192 marbles in all.

Answer 2

There are 192 marbles.

Explanation:

Let the number of marbles in the bag be
`x`.

Then number of blue marbles

`=(1)/(4)x`.

Number of green marbles

`=(1)/(8)x`.

The remaining marbles

`=x-((1)/(4)x+(1)/(8)x)`

`=x-((2x+x)/(8))`

`=x-(3x)/(8)`

`=(8x-3x)/(8)`

`=(5x)/(8)`.

It was given that

`(1)/(5)` of this remainder is 24

This implies that

`(1)/(5)* (5x)/(8)=24`

We solve this to obtain,

`(x)/(8)=24`

`x=24* 8`

`x=192`

Therefore the number of marbles is 192