Answer: X=1
Step-by-step explanation: 5x+8-3x=10
Combine like terms; 5x + (-3x) = 2x
Rewrite; 2x+8=10
Get “x” alone; 2x+8=10
-8. -8
Simply divsion; 2x=2
X=1
You first need to make the denominators on both fractions the same and how to do that is simple. What does 6 and 8 go into to? Well, the answer is 24. You multiply 5/6 into 4 and you should get 20/24. Then, you multiply 3/8 into 3 and you should get 9/24. Now the last part is easy, you just subtract 20/24 and 9/24 and you should get 11/24 as your answer. It cannot be simplified. Hope it helped.
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
