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How many liters of 80% hydrochloric acid must be mixed with 40% hydrochloric acid to get 15 liters of 65% hydrochloric acid

How many liters of 80% hydrochloric acid must be mixed with 40% hydrochloric acid to get 15 liters of 65% hydrochloric acid? Write your answer rounded to three decimals. Show all work.
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Work with the total volume of HCl

The amount of HCl in a liters of 80% acid is just .8a

In b liters of 40% acid is .4b

Total acid: .65*15
Total volume: a+b

.8a + .4b = 9.75
a + b = 15

.8a + .4b = 9.75
.8a +.8b = 12

.4b = 2.25
b = 5.625 liters of 40% acid
a = 9.375 liters of 80% acid
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