Question

Find the values of A and B in these equivalent ratios.

8:6 = 4:A = B:27
A= B=
Please help its for my homework, thank you!
:)

Answer 1

After setting up proportions and cross-multiplying, the values of A and B in the equivalent ratios 8:6 = 4:A = B:27 are determined to be A = 3 and B = 36.

Step-by-step explanation:

To find the values of A and B in the equivalent ratios 8:6 = 4:A = B:27, we need to solve for A and B separately by setting up proportions.

For A, we start with the ratio 8:6 which is equivalent to 4:A. We can write the proportion as follows:

8/6 = 4/A

By cross-multiplying, we get:

8A = 4×6

A = (4×6)/8

A = 3

Now for B, we compare the ratio 8:6 to B:27 and write another proportion:

8/6 = B/27

Cross-multiplication gives us:

8×27 = 6B

B = (8×27)/6

B = 36

Therefore, the values for A and B are: A = 3 and B = 36.