Question

How do you solve `5/11=35/x`?

Answer 1

`x=77`

Explanation:

We can do this a couple of different ways.

Cross multiply

`5/11=35/x`

`5x=385`

`x=77`

Observation

We can see that in the numerators, 35 is seven times 5. And so we can adjust the left hand fraction by a factor of 7 in both the numerator and denominator to see the equivalence to the right side:

`5/11=35/x`

`5/11(1)=35/x`

`5/11(7/7)=35/x`

`35/77=35/x`

therefore `x=77`