Answer:
There are 192 marbles.
Step-by-step explanation:
Let the number of marbles in the bag be [tex]x[/tex].
Then number of blue marbles
[tex]=\frac{1}{4}x[/tex].
Number of green marbles
[tex]=\frac{1}{8}x[/tex].
The remaining marbles
[tex]=x-(\frac{1}{4}x+\frac{1}{8}x)[/tex]
[tex]=x-(\frac{2x+x}{8})[/tex]
[tex]=x-\frac{3x}{8}[/tex]
[tex]=\frac{8x-3x}{8}[/tex]
[tex]=\frac{5x}{8}[/tex].
It was given that
[tex]\frac{1}{5}[/tex] of this remainder is 24
This implies that
[tex]\frac{1}{5}\times \frac{5x}{8}=24 [/tex]
We solve this to obtain,
[tex]\frac{x}{8}=24 [/tex]
[tex]x=24\times 8 [/tex]
[tex]x=192[/tex]
Therefore the number of marbles is 192
Answer:
There are 192 marbles.
Step-by-step 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.
