Question

Daniel has a set off green,blue, and red the red marblesmmake up exactly 1halfs of the set the set has 2 blue marble the number of green marbles are as twice of the number of blue marblemhow many marbles are in daniels set?

Answer 1

Answer:

There are 12 marbles in Daniel's set.

Step-by-step explanation:

Given:

Daniel has a set off green,blue and red.

The red marbles make up exactly half of the set.

The set has 2 blue marbles.

The green marbles in set are as twice of the blue marbles in set.

Now, to find the number of marbles in Daniel's set.

Let the number of marbles in Daniel set be $x.$

So, the red marbles =  $\frac{1}{2}\ of\ x$ $=\frac{x}{2}$

Blue marbles = 2.

And the green marbles = $2\times 2$ $=4.$

According to question:

$x=\frac{x}{2} +2+4$

$x=\frac{x}{2} +6$

$x=\frac{x+12}{2}$

Multiplying both sides by 2 we get:

$2x=x+12$

Subtracting both sides by $x$ we get:

$x=12.$

Therefore, there are 12 marbles in Daniel's set.