Question

Anthony wants to make 6 gallons of a 34% alcohol solution by mixing together 24% alcohol solution and a 64% alcohol solution. How many of each solution must he use.

Answer 1

Let a be the required amount of 24% alcohol solution.
Let b be the required amount of 64% alcohol solution.
Now we can write:
a + b = 6 .......................(1)
The amount of alcohol in 6 gallons of 34% alcohol solution is given by:
6 * 0.34 = 2.04 ..............(2)
Therefore we can write another equation based on the alcohol content in the three different alcohol solutions:
0.24a + 0.64b = 2.04 ......(3)

Equations (1) and (3) are a pair of simultaneous equations which can be solved to find the values of a and b.

Answer 2

Thank you for the help

Answer 3

Haha satellite73

Answer 4

You're welcome :)