Final answer:
To find the ratio of b to 10a, we can set up a proportion using the given ratio of a to b. Solving the proportion gives us the ratio of 25:1.
Step-by-step explanation:
To find the ratio of b to 10a, we need to start with the given ratio of a to b, which is 2:5. We can rewrite this ratio as a fraction, 2/5. Next, we want to express the second ratio, b to 10a, in terms of a ratio involving a and b. We can set up the proportion:
b/10a = 5/2
To solve this proportion, we can cross-multiply:
b * 2 = 10a * 5
2b = 50a
Now we can isolate b by dividing both sides of the equation by 2:
b = 25a
Therefore, the ratio of b to 10a is 25:1.