Pedro adds a 75% acid solution to 10 milliliters of solution that is 15% acid. The function that represents the percent of acid in the resulting solution is f(x) = 10(0.15) + x(0.75) all over 10 + x 10(0.15) + x(0.75) 10 + x x is the amount of 75% solution added.

• f(x) – the percentage of acid in the final solution
• 10(0.15) – the amount in ml of the 15% acid multiplied by 15% to obtain the total amount in ml that is strictly acid
• x(0.75) – the amount in ml of the 75% acid solution Pedro uses multiplied by the 75% resulting in the amount in ml that is strictly acid
• 10 + x – the total amount in ml of the resulting solution, the 10 ml Pedro starts with plus the amount he adds

Pedro is mixing another solution. He adds a 50% acid solution to 25 milliliters of a 7% acid solution. Review the first equation then find the function that would represent the percent of acid in the new solution.

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Check Your Answer

f(x) = 25(.07) + x(.50) all over 25 + x 25(.07) + x(.50) 25 + x

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