Question

If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y

Answer 1

Answer:

y = 60

Step-by-step explanation:

Step 1: Make sense of the given

"The ratio of y to x is 3"

This means that, $y\div x=3$

"The sum of y and x is 80"

This means,  $x+y=80$

Step 2: Make use of the facts

If $y\div x=3$, then $y = (3*x)$.

We can plug this into the other equation by substitution:

$x + (3 * x)=80$

This simplifies to:

$4x = 80$

Which we can solve out and get:
$x=20$.

Step 3: Plug and Chug

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: "$y = (3*x)$".

And now we substitute the value of x, into this.

$y = (3 * (20))$

By solving this out, we get:
$y=60$

So, the value of y is 60.