Answer:
3.5
Step-by-step explanation:
If x is the volume of 10% solution, and y is the volume of 6% solution, then:
x + 7 = y
0.10x + 0.04(7) = 0.06y
Solve the system of equations.
0.10x + 0.04(7) = 0.06(x + 7)
0.10x + 0.28 = 0.06x + 0.42
0.04x = 0.14
x = 3.5
3.5 liters of 10% solution is needed.
The number of liters where 10% of solutions needed should be 3.5 liters.
Given that,
7 Liters of a 4% solution should be mixed with a 10% solution.
So, that 6% solution could come.
Let us assume the number of liters be x.
So,
The following equation should be made:
[tex]0.04\times 7 + 0.10x = 0.06(7+x)[/tex]
Now Multiply it by 100
[tex]4 \times 7 + 10x = 6(7+x)\\\\4 \times 7 + 10x = 6\times 7 + 6x\\\\4x = 2 \times 7[/tex]
x = 3.5 liters
Therefore we can conclude that the number of liters where 10% of solutions needed should be 3.5 liters.
Learn more about the solution here: brainly.com/question/1616939
