ALEKS: Serena Jones
Done
Rurtas Roperitens ena Percentr
Word probiem on proportions: Prot cm cipe 2
Serena
Espetat

A certain drug is made from only two ingredients: compound A and compound B. There are 2 milibiters of compound A use for every 3 mililiters of compound B. If a chemist wants to make 430 milliliters of the drug, how many mililiters of compound are needed?
malititers of compound B

Question

ALEKS: Serena Jones
Done
Rurtas Roperitens ena Percentr
Word probiem on proportions: Prot cm cipe 2
Serena
Espetat

A certain drug is made from only two ingredients: compound A and compound B. There are 2 milibiters of compound A use for every 3 mililiters of compound B. If a chemist wants to make 430 milliliters of the drug, how many mililiters of compound

are needed?

malititers of compound B

UpStudy AI · Accepted Answer

Let $$ x $$ be the number of milliliters of compound $$ B $$. According to the problem, the ratio of compound $$ A $$ to $$ B $$ is $$ 2:3 $$. This means that for every $$ 3 $$ milliliters of $$ B $$, there are $$ 2 $$ milliliters of $$ A $$.

Thus, the milliliters of compound $$ A $$ used can be expressed as
$$
\frac{2}{3}x.
$$

Since the total volume of the drug is $$ 430 $$ milliliters, we have:
$$
\frac{2}{3}x + x = 430.
$$

Combine the terms on the left-hand side:
$$
\frac{2}{3}x + \frac{3}{3}x = \frac{5}{3}x = 430.
$$

To solve for $$ x $$, multiply both sides by $$ \frac{3}{5} $$:
$$
x = 430 \times \frac{3}{5}.
$$

Calculate the value:
$$
x = 430 \times 0.6 = 258.
$$

Thus, the chemist needs $$ \boxed{258} $$ milliliters of compound $$ B $$.
The chemist needs 258 milliliters of compound B.

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