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 keep the ratio of red to purple marbles the same, we need to add an equal number of red and purple marbles.
The current ratio of red to purple marbles is 30:15, which can be simplified to 2:1.
To find out how many marbles to add, we need to divide 180 marbles by the total number of parts in the ratio, which is 3 (2 parts red + 1 part purple).
180 marbles รท 3 parts = 60 marbles per part
Therefore, Mr. Clark should add 60 red marbles and 60 purple marbles to maintain the ratio.
The correct answer is: 60 red marbles and 60 purple marbles.