Final answer:
To determine the number of blue marbles after a 40% increase, we need to calculate the total number of marbles in the bag, which is 30, and then find that 50% are blue, giving us 15 blue marbles. After increasing this by 40%, there are 21 blue marbles.
Step-by-step explanation:
The question asks about the number of blue marbles in a bag after increasing the current number by 40%. Given that 50% of the marbles are blue and 30% are green, and there are 6 red marbles. First, we need to find the total number of marbles in the bag, and then calculate the number of blue marbles, which we can then increase by 40%.
To find the total number of marbles, let's consider the percentage that is not blue or green. Since 50% are blue, and 30% are green, that leaves 20% that must be red marbles. We can set up an equation where the number of red marbles, which is 6, is equal to 20% of the total number of marbles (T). The equation is 0.20T = 6. Solving for T gives us T = 6 / 0.20 = 30 marbles total.
Now, since 50% of the marbles are blue, there are 0.50 × 30 = 15 blue marbles. We then increase this number by 40%: 15 × 1.40 = 21 blue marbles.
Therefore, after increasing the number of blue marbles by 40%, there will be 21 blue marbles in the bag.
Que :
In a bag of blue, green, and red marbles, 50% are blue and 30% are green. There are 6 red marbles in the bag. If you increase the number of blue marbles by 40%, how many blue marbles in the bag?