3x+12x=45
15x=45
x=3
the first chemical is 3*3 or 9 L
the second chemical is 12*3 = 36 L
Answer:
We need 9L from one chemical and 12L from the other.
Step-by-step explanation:
What 3:12 means is that if you add 3L from one chemical(lets say A chemical) then you will have to add 12L from the other chemical (lets say B chemical) to make the compound.
Now Lets take that you added [tex]x[/tex]L of chemical A to make 45L of the compound.
So if add 3L from chemical A you have to add 12L of chemical B, so if you add [tex]x[/tex]L of A then how many liters of B do you need?
⇒[tex]\frac{12}{3} *x[/tex]
=[tex]4x[/tex]
So you will need [tex]4x[/tex]L of chemical B.
Now we can write an equation for the total amount of compound B as,
⇒[tex]x+4x=45[/tex]
[tex]5x=45[/tex]
[tex]x=9[/tex]
Therefore,
We need 9L of chemical A, and
We need 36L of chemical B