If a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to:Options15 : 24 : 2815 : 24 : 325 : 8 : 65 : 6 : 8

To solve this problem, we need to find a common value for 'b' in both ratios.

1. In the first ratio a : b = 5 : 8, 'b' is 8.
2. In the second ratio c : b = 4 : 3, 'b' is 3.

To make 'b' the same in both ratios, we can multiply the second ratio by 8/3.

So, c : b becomes (4 * 8/3) : (3 * 8/3), which simplifies to 32/3 : 8.

Now, we can combine the two ratios to get a : b : c = 5 : 8 : 32/3.

To make this ratio easier to understand, we can multiply all terms by 3 to get rid of the fraction.

So, a : b : c = 15 : 24 : 32.

Therefore, the answer is 15 : 24 : 32.