Select the correct answerA and B shares are in the ratio of 4:5, B and C shares are in the ratio of 15:13 and C and D shares are in the ratio of 26:3 and D and E shares are in the ratio of 6:17. What is the ratio of A and E shares?Options43:1748:1734:4936:57

To solve this problem, we need to find the ratio of A to E shares. We can do this by multiplying the ratios together.

First, let's write down the given ratios:

A:B = 4:5 B:C = 15:13 C:D = 26:3 D:E = 6:17

To find the ratio of A to E, we multiply these ratios together. However, we need to make sure that the common terms in each ratio (B, C, D) are the same before we multiply.

The ratio A:B = 4:5 can be rewritten as A:B = 4x:5x, where x is a common multiplier.

Similarly, the ratio B:C = 15:13 can be rewritten as B:C = 15y:13y, where y is a common multiplier.

We can equate 5x (from the first ratio) to 15y (from the second ratio) to find the common multiplier. Solving for x, we get x = 3y.

Substituting x = 3y into the first ratio, we get A:B = 12y:15y.

Now, the term B is the same in the first two ratios. We can do the same for the terms C and D in the second, third and fourth ratios.

Following the same process, we get:

B:C = 15y:13y C:D = 26z:3z D:E = 6w:17w

Equate 13y = 26z and 3z = 6w to find the common multipliers. Solving for y and z, we get y = 2z and z = 2w.

Substituting y = 2z into the second ratio, we get B:C = 30z:26z. Substituting z = 2w into the third ratio, we get C:D = 52w:6w.

Now, the terms B, C and D are the same in all the ratios.

Finally, we can multiply the ratios together to find the ratio of A to E:

A:E = (A:B) * (B:C) * (C:D) * (D:E) = (12y:15y) * (30z:26z) * (52w:6w) * (6w:17w) = (1230526 : 1526617) = (5760 : 6630) = 48 : 57

So, the ratio of A to E shares is 48:57. Therefore, the correct answer is 48:57.