SOLUTION: How much 48% hydrochloric acid solution must be mixed with a 30 percent solution to make 40 milliliters of 38 percent acid solution?

Question 907153: How much 48% hydrochloric acid solution must be mixed with a 30 percent solution to make 40 milliliters of 38 percent acid solution?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+b=40,
0.48*a+0.3*b=0.38*40
a=40-b
0.48*(40-b)+0.3*b=15.2
19.2-0.48b+0.3*b=15.2
-0.18*b=-4
b=22.2222222
a=40-b
a=17.7777778 mL at 48%
b=22.2222222 mL at 30%
check
0.48*17.7777778+0.3*22.2222222=0.38*40
8.53333333+6.66666667=15.2
15.2=15.2
ok

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