Question

Can any one please help me!!!!!!!!!!!!

Solution A is 40% acid and solution B is 80% acid. How much of each should be used to make 300 liters of a solution that is 64% acid?

A. Solution A is 150 liters and Solution B is 150 liters.
B. Solution A is 100 liters and Solution B is 200 liters.
C. Solution A is 120 liters and Solution B is 180 liters.

Answer 1

check out the options:
A: if A is 150 liters then %age of acid =(40/100)*150= 60 litres
if B is 150 liters then %age of acid =(80/100)*150= 120 litres
In total mixture,
total quantity of acid= 60+120=180 litres

and we know that 64% of 300 =192
but we have 180 liters.
so option A is wrong.

Answer 2

for option C:
Quantity of acid in A=0.40*120=48 liters
Quantity of acid in B=.80*180= 144 liters
so in mixture,
Quantity of acid = 144+48=192 liters
which is 64% of 300 liters.
so C is correct.