Question

Find the value of $x$ so that the ratios are equivalent. x:5/2 and 8:10

Answer 1

Answer:

x=2

Step-by-step explanation:

Here what we need is that the ratios be equal, which is:

x:(5/2) = 8:10 or, what is the same:

x/(5/2) = 8/10

Lets pick the left term x/(5/2) and multiply both numerator and denominator by 2 to eliminate the fraction on the denominator:

2x/2(5/2) = 2x/5

Now, we would like to make a 10 appear on the denominator. As we already have a five we need to multiply numerator and denominator by the num that, multiplied by 5 gives as 10, this is 2:

2(2x)/2(5) = 4x / 10

So, we transformed x/(5/2)  in 4x/10, and both are the same, so we can replace it on our first equation:

4x/10 = 8/10

As both denominators are equal, we can concentrate only in numerators:

4x = 8

Dividing both sides by 4:

x = 2

So, for x=2 both ratios are equivalents.