the ratio of A to B is 2:3 and the ratio of B to C is 4:5. what is the ratio of A to C?

Answer 1

Oh, what a happy little problem we have here! To find the ratio of A to C, we can simply multiply the two ratios together. So, 2:3 times 4:5 gives us 8:15. That's the beautiful ratio of A to C, just like painting a lovely landscape with different colors blending harmoniously together.

Answer 2

To find the ratio of A to C, we can first express A in terms of B using the first ratio. Since the ratio of A to B is 2:3, we can say that A is 2/3 of B. Next, we can express B in terms of C using the second ratio. Since the ratio of B to C is 4:5, we can say that B is 4/5 of C. Combining these two expressions, we find that A is (2/3)*(4/5) = 8/15 of C. Therefore, the ratio of A to C is 8:15.

Answer 3

This deals with ratios and proportions.

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A : B = 2 : 3

B : C = 4 : 5.

Now, to find A : B : C, we need to make the value of B equal in A : B ratio and B : C ratio.

Here, Value of B in A : B ratio is 3; and B : C ratio is 4.

LCM of 3 and 4 is 12. Therefore, we multiply 4 to the first ratio and 3 to the second ratio.

A : B = 2 × 4 : 3 × 4

A : B = 8 : 12

Also,

B : C = 4 × 3 : 5 × 3

B : C = 12 : 15

Now, we can combine A : B and B : C.

A : B : C = 8 : 12 : 15.