A bag contains 30 red marbles and 15 purple marbles. Mr. Clark wants to add 180 marbles to the bag. He wants the ratios or red to purple marbles to remain the same. How many of each should he add?(1 point)
The ratio of red to purple marbles is currently 30:15, which simplifies to 2:1.
To keep the ratio the same after adding 180 marbles, Mr. Clark needs to add twice as many red marbles as purple marbles.
Let's call the number of purple marbles added P. Then, the number of red marbles added would be 2P.
So, Mr. Clark should add 2P red marbles and P purple marbles.
We know that the total number of marbles added is 180, so we can set up the equation:
2P + P = 180
Combining like terms, we get:
3P = 180
Dividing both sides by 3, we find:
P = 60
Therefore, Mr. Clark should add 60 purple marbles and 2*60 = 120 red marbles to maintain the same ratio.