A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 639 milliliters of the drug, how many milliliters of compound A are needed

Respuesta :

Answer:

355 milliliter.

Step-by-step explanation:

Given:

A certain drug is made from only two ingredients: compound A and compound B.

There are 5 milliliters of compound A used for every 4 milliliters of compound B.

If a chemist wants to make 639 milliliters of the drug, how many milliliters of compound A are needed ?

Solution:

As 5 milliliters of compound A is used for every 4 milliliters of compound B.

Ratio of compound A and compound B = 5 : 4

Let ratio be [tex]x[/tex]

Quantity of compound A in milliliter = [tex]5x[/tex]

Quantity of compound B in milliliter = [tex]4x[/tex]

Now, we have to make 639 milliliters of the drug,

Quantity of compound A + Quantity of compound B =  639 milliliters

[tex]5x+4x=639\\9x=639\\[/tex]

Dividing both sides by 9

[tex]x=71[/tex]

Quantity of compound A in milliliter = [tex]5x[/tex] = [tex]5\times71=355\ mililiters[/tex]

Therefore, 355 milliliter of compound A are needed to make 639 milliliters of the drug.

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