Question

2. A chemist wishes to make 3 liters of a 7% acid solution by mixing a 9% acid solution and a 4% acid solution. How many liters of each solution should the chemist use? Write your answer as a complete sentence.

Be sure to:
• Define your variable and expressions for the quantities.
• Write an equation that models the problem.
• Solve the equation.
• State the answer in a complete sentence.
Answer:

Answer 1

i will help, but you have to define the variable

Answer 2

okay you want me to go first or you?

Answer 3

you define the variable
name it, and say what it represents,
we can take it from there

Answer 4

ok

Answer 5

variables is y=unknown

Answer 6

?

Answer 7

y equals what? amount of 9% solution, or the amount of 4% solution?

Answer 8

i would say 4% solution?

Answer 9

so for Define your variable and expressions for the quantities.
-4% solution

Answer 10

damn i read it wrong
since the total is 3, the amount of 9% solution is \(3-y\)

Answer 11

lol thats ok lets keep going if you want

Answer 12

you will have 4% of y and 9% of \(3-y\) for a total of
\[.04y+.09(3-y)\] which you want to be equal to 7% of 3
set
\[.04y+.09(3-y)=.07\times 3\]

Answer 13

easier if you remove decimals by multiplying by 100 and start with
\[4y+9(3-y)=7\times 3\] solve for \(y\)

Answer 14

Define your variable and expressions for the quantities.
-4y+9(3−y)=7×3