Linear Equations Word Problems

A chemist is mixing a solution that contains $x$ grams of solute in $y$ liters of solution. If the desired concentration is 10 grams per liter, what is the equation representing this relationship?

If a certain chemical reaction produces $z$ grams of product for every $2x$ grams of reactant used, what is the linear equation representing this relationship?

A laboratory has $p$ grams of a solution that is 25% acid. If the chemist adds $q$ grams of pure acid, which results in a final concentration of 40% acid, what equation represents this situation?

A solution is prepared by mixing $x$ liters of a 30% solution with $y$ liters of a 50% solution to obtain a 40% solution. Which equation correctly represents this mixture?

A scientist needs to dilute a $H_{2}SO_{4}$ solution from 70% to 20%. If the final volume should be $V$ liters, how much pure water $W$ (in liters) must be added to achieve this dilution?

In a reaction, $A$ is consumed at a rate of $2x$ grams per hour and $B$ is consumed at a rate of $3y$ grams per hour. If the total consumption rate is 60 grams per hour, which equation represents their relationship?

A student is preparing a $NaCl$ solution by mixing $x$ grams of $NaCl$ with $y$ liters of water. If the desired concentration is 5 grams per liter, what is the equation to represent this concentration?

A factory produces $m$ grams of a chemical compound. If the production rate is $R$ grams per hour, how many hours $H$ will it take to produce $m$ grams?