Question

Every orange counter, there are 8 green counters. For every 2 green counters, there are 3 purple counters. What is the ratio of orange counter to purple counters?

a. 1:8
b. 1:3
c. 3:8
d. 8:3

Answer 1

The ratio of orange counters to purple counters is 1:12.

Step-by-step explanation:

To find the ratio of orange counters to purple counters, we need to follow the given information step by step. For every orange counter, there are 8 green counters, and for every 2 green counters, there are 3 purple counters. So, the ratio of orange counters to green counters is 1:8 and the ratio of green counters to purple counters is 2:3. To find the ratio of orange counters to purple counters, we can multiply the two ratios together: (1:8) * (2:3) = 2:24. However, we can simplify this ratio by dividing both numbers by 2: 2 ÷ 2 : 24 ÷ 2 = 1:12. Therefore, the ratio of orange counters to purple counters is 1:12.