Answer:
y = 60
Step-by-step explanation:
"The ratio of y to x is 3"
This means that, [tex]y\div x=3[/tex]
"The sum of y and x is 80"
This means, [tex]x+y=80[/tex]
If [tex]y\div x=3[/tex], then [tex]y = (3*x)[/tex].
We can plug this into the other equation by substitution:
[tex]x + (3 * x)=80[/tex]
This simplifies to:
[tex]4x = 80[/tex]
Which we can solve out and get:
[tex]x=20[/tex].
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "[tex]y = (3*x)[/tex]".
And now we substitute the value of x, into this.
[tex]y = (3 * (20))[/tex]
By solving this out, we get:
[tex]y=60[/tex]
So, the value of y is 60.
