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Delicious77 [7]

3 years ago

4

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?

1 answer:

Kay [80]3 years ago

6 0

Answer:

There are 192 marbles.

Step-by-step explanation:

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

Then number of blue marbles

$=\frac{1}{4}x$ .

Number of green marbles

$=\frac{1}{8}x$ .

The remaining marbles

$=x-(\frac{1}{4}x+\frac{1}{8}x)$

$=x-(\frac{2x+x}{8})$

$=x-\frac{3x}{8}$

$=\frac{8x-3x}{8}$

$=\frac{5x}{8}$ .

It was given that

$\frac{1}{5}$ of this remainder is 24

This implies that

$\frac{1}{5}\times \frac{5x}{8}=24$

We solve this to obtain,

$\frac{x}{8}=24$

$x=24\times 8$

$x=192$

Therefore the number of marbles is 192

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