# Question bc6a4

Oct 25, 2017

36 marbles

#### Explanation:

So let's list our marbles:
B = 50%
G = 30%
R = 6

Out of 100%, if B is 50% and G is 30%, then that must mean R is 20%. Now that we know that 6 is 20% out of 100%, we can find out the total of marbles we have.
R = 20% = 6

If 6 is 20%, then we multiply it by 5 to find out the total marbles.
"100%"="20%*5=6*5=30
$\text{total number of marbles} = 30$

So let's find out the number of blue and green marbles. For blue, 50% of 30 is 15 marbles. For green, 30% of 30 is 9 marbles.
B = 30*50%=30*0.5=15 blue marbles
g = 30*30%=30*.30=9# green marbles

The question asked to increase the blue marbles by 40%. So 40% of 15 is 6. Then we add this 6 to our blue marbles.
40% of 15 = $0.40 \cdot 15 = 6$ blue marbles

$15 + 6 = 21$ total blue marbles

Let's relist our marbles:
B = 21
G = 9
R = 6

Now, all that's left is to add them all to get our total marbles.
$21 + 9 + 6 = 36$ marbles