Question

Find a set of values for A and B that make the equation below true. 4/5 ÷ A/10 = 10/5 x 2/B

Answer 1

So,

Here we have the expression:

$\frac{\frac{4}{5}}{\frac{A}{10}}=\frac{10}{5}\cdot\frac{2}{B}$

To find the set, first we should operate each fraction:

$\frac{40}{5A}=\frac{20}{5B}$

Now we could multiply by cross:

$200B=100A$

And if we solve for B, we obtain the set:

$B=\frac{1}{2}A$

Therefore, the set of values for A and B that make the equation true, satisfies that:

$B=\frac{1}{2}A$

This set could be: A=10 and B=5