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)
Responses
120 red marbles and 60 purple marbles
60 red marbles and 120 purple marbles
100 red marbles and 80 purple marbles
80 red marbles and 100 purple marbles
To find out how many red and purple marbles Mr. Clark should add, we need to maintain the ratio of red to purple marbles in the bag.
Currently, the ratio of red to purple marbles in the bag is 30:15, which can be simplified to 2:1. This means that for every 2 red marbles, there is 1 purple marble.
If Mr. Clark wants to add 180 marbles, we can set up the equation:
2x + x = 180
Here, x represents the number of purple marbles Mr. Clark should add.
Simplifying the equation, we have:
3x = 180
x = 180/3
x = 60
Therefore, Mr. Clark should add 60 purple marbles.
To find the number of red marbles, we can multiply the number of purple marbles by 2:
60 * 2 = 120
Therefore, Mr. Clark should add 120 red marbles.
The correct answer is 120 red marbles and 60 purple marbles.