Answer:
6: 3: 1
Explanation:
Let the number of blue, red, and green counters be b, r and g respectively.
"twice as many blue counters... as red counters"
➥b : r = 2 : 1
"3 times as many red counters... as green counters"
➥r : g = 3 : 1
Ensure that the number of parts for r is equal in both ratios. (Since the number of red counters does not change)
1st ratio→ r= 1 part
2nd ratio→ r= 3 parts
Thus, multiply the 1st ratio by 3 so that in both ratio, r= 3 parts.
b : r
= 2(3) : 1(3)
= 6 : 3
b : r= 6 : 3
r : g= 3 : 1
Now that r has equal parts in both ratios, we can combine the 2 ratios together.
b : r : g= 6 : 3 : 1