Question

A certain drug is made from only two ingredients: compound B. There are 4 millimeters of compound A used for every 3 milliliters of compound B. If a chemist wants to make 406 milliliters of the drug, how many milliliters of comped B are needed

Answer 1

Given:

4 milliliter of compounf A used for every 3 milliliter of compound B.

That mean ratio is:

`4\colon3`

ler "x" the multiplier then:

`\begin{gathered} 4x=\text{ amount of compound A} \\ 3x=\text{ amount of compound B} \end{gathered}`

If chemist wants to make 406 milliliter that mean:

`\begin{gathered} 4x+3x=406 \\ 7x=406 \\ x=(406)/(7) \\ x=58 \end{gathered}`

The compound B needed is:

"3x" then the value is:

`\begin{gathered} =3x \\ =3(58) \\ =174 \end{gathered}`

So 174 milliliter used of compound B