Answer to Question #121312 in Algebra for Neka

Question

How much alcohol must be added to 480 grams of hand sanitizer that is 24% alcohol to
make it a hand sanitizer that is 40% alcohol? Correct your answer to the nearest whole
number

Answer 1

Solution.

Let it is added x gram of 100% alcohol. Find the weight of alcohol, which must be added:

$x*1+480*0.24=(x+480)*0.4;\\ x+115.2=0.4x+192;\\ 0.6*x=76.8;\\ x=128.\\$

Answer: 128 gram.