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A bag contains purple, red, and green counters.

- For every purple counter, there are 9 red counters.
- For every 3 red counters, there are 5 green counters.

What is the ratio of purple counters to green counters? Give your answer in its simplest form.

Answer :

Final answer:

The ratio of purple counters to green counters is 1:15.


Explanation:

Let's use variables to represent the number of counters. Let's say there are 'p' purple counters, 'r' red counters, and 'g' green counters. We are given 2 ratios: for every purple counter, there are 9 red counters; and for every 3 red counters, there are 5 green counters. We can write the ratios as equations: p:r = 1:9 and r:g = 3:5. To find the ratio of purple to green counters, we can combine the two ratios by multiplying them together, which gives us p:r:g = 1:9:15. Therefore, the ratio of purple counters to green counters is 1:15.

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