Question

If a:b =3:4 find 3a+4b:4b+5b

Answer 1

Step-by-step explanation:

So A:B has a ratio of 3:4; that is, A is three fourths of four.

Thus, you could reduce the values of A and B such that A = 3 and B = 4

Example:

A:B = 9/12

A:B = 34

A:B = 150/200

A:B = 3/4

So we substitute 3 for A and 4 for B in the second algebraic expression in your question:

(3A^2 + 4B)/(3A-4B^2)

I’m assuming this is what you meant to write, and will attempt to simplify this:

(3*3^2 + 4*4) / (3*3–4*4^2)

First, raise the exponents, then do the multiplication, then the addition and subtraction, and then divide in the middle:

(3*9+16)/(9–16)

(27+16)/(9–16)

(43)/(-7)

-43/7