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How many liters are each of a 15% acid solution and a 35% acid solution must be used to produce 70 liters of a 25% acid solution?

User CovertIII
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Answer:

To solve this mixture problem, you can use a system of linear equations. Let's use the following variables:

Let x be the number of liters of the 15% acid solution.

Let y be the number of liters of the 35% acid solution.

You want to produce 70 liters of a 25% acid solution, so you can write the equation:

x + y = 70 (total volume equation)

You also want to ensure that the final solution is 25% acid, which gives you the equation for the acid content:

0.15x + 0.35y = 0.25 * 70 (acid content equation)

Now, you have a system of two equations:

1. x + y = 70

2. 0.15x + 0.35y = 17.5

You can solve this system of equations using substitution or elimination. Let's use elimination to solve it. First, multiply equation 1 by 0.15 to make the coefficients of x in both equations equal:

0.15x + 0.15

User Calebt
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