find the ratio of a:x for 5a=x

a/x=1/5 for each x, there are 5a

somewhat strange wording here.

so : find a:x if x = 5a
then a:x = a:5a = 1 : 5

To find the ratio of a to x in the equation 5a = x, we need to determine the value of a that satisfies the equation.

Given that 5a = x, we can solve for the value of a by dividing both sides of the equation by 5.

Dividing both sides by 5:
5a / 5 = x / 5

This simplifies to:
a = x/5

Now that we have the value of a, we can write the ratio of a to x as:
a : x = (x/5) : x

Simplifying this further, we can multiply every term in the ratio by 5 to eliminate the denominator:
a : x = (x * 5 / 5) : (x * 1 / 5)

This gives us the final ratio:
a : x = 5x : x

So, the ratio of a to x in the equation 5a = x is 5x : x.