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:

`((4)/(5))/((A)/(10))=(10)/(5)\cdot(2)/(B)`

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

`(40)/(5A)=(20)/(5B)`

Now we could multiply by cross:

`200B=100A`

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

`B=(1)/(2)A`

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

`B=(1)/(2)A`

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