SOLUTION: I am having a lot of trouble with word problems....hopefully you could help me better understand it! A student needs 10% hydrochloride acid for a chemistry expierement. How much

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Question 125173This question is from textbook A Graphical Approach to College algebra
: I am having a lot of trouble with word problems....hopefully you could help me better understand it!
A student needs 10% hydrochloride acid for a chemistry expierement. How much 5% acid should be mixed with 120 milliliters of 20% acid to get a 10% solution.
THANK YOU SO MUCH! This question is from textbook A Graphical Approach to College algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start by letting x = the number of ml of 5% hydrochloride acid solution required to be added to the 120 ml of 20% hydrochloride acid solution to get a total of (120+x) ml of 10% hydrochloride acid solution.
We can write the equation to solve for x:
0.05x+%2B+0.2%28120%29+=+%28120%2Bx%29%280.1%29 Simplify and solve for x.
0.05x%2B24+=+12%2B0.1x Subtract 0.05x from both sides.
24+=+12%2B0.05x Subtract 12 from both sides.
12+=+0.05x Finally, divide both sides bt 0.05
240+=+x
The student will need to add 240ml of 5% hydrochloride acid solution to 120ml of 20% hydrochloride acid solution to obtain 360ml of 10% hydrochloride acid solution.