How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze? Use the six-step method.

Question

asked Aug 26, 2022 19.2k views

1 Answer

Naved · Answer 1 · 2022-08-30T14:41:43+0000

To Find :

How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.

Solution :

Let, x gallons of 80% antifreeze solution is required :

So,

$(x * 80) + ( 100 * 20 ) = (x + 100 )* 70\\\\8x + 200 = 7( x + 100)\\\\x = 500$

Therefore, 500 gallons of 80% antifreeze solution is required.