High School

A bag contains blue, purple, and red counters.

For every blue counter, there are 6 purple counters.
For every 3 purple counters, there are 7 red counters.

What is the ratio of blue counters to red counters?

Answer :

Final answer:

The ratio of blue counters to red counters is 1:2.

Explanation:

To find the ratio of blue counters to red counters, we need to determine the number of blue counters and the number of red counters.

Given that for every blue counter there are 6 purple counters, and for every 3 purple counters there are 7 red counters, we can set up the following equations:

  • Number of blue counters = x
  • Number of purple counters = 6x
  • Number of red counters = (1/3)(6x) = 2x

Therefore, the ratio of blue counters to red counters is x:2x, which simplifies to 1:2.

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