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

To find the value of y, you can use the ratio y to x equals 3 to express y as 3x and then use the sum of y and x equals 80 to solve for x and subsequently y. Doing this, you'll find that x = 20 and y = 60.

Step-by-step explanation:

The question is asking for the value of y when given that the ratio of y to x is equal to 3 (y/x = 3), and the sum of y and x is 80 (y + x = 80).

First, we can express y in terms of x using the ratio provided:

y = 3x

Now, we can substitute 3x for y in the sum equation:

3x + x = 80

Solving for x we get:

4x = 80

So,

x = 20

Now substitute x = 20 back into the equation y = 3x to find the value of y:

y = 3(20)

Therefore, y = 60.

Answer 2

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/ x=3`

"The sum of y and x is 80"

This means,
`x+y=80`

Step 2: Make use of the facts

If
`y/ 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.