A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
65% salt and Solution B is 90% salt. She wants to obtain 130 ounces of a mixture that is 70% salt. How many ounces of each solution should she use? Solution A: ounces
So let's call x the amount of ounces in Solution A So then the equation would look something like this. 0.65(x) + 0.9(130-x) = 0.7(130) To make it easier, multiply both sides by 100: 65(x) + 90(130-x) = 70(130) multiply. 65x + 11700 - 90x = 9100 Make sure that x is on one side and the numbers are on the other: -25x = -2600 The negatives cancel out: 25x = 2600 Solve for x: x = 104. So then Solution A has 104 ounces, and Solution B has 130 - 104 ounces, which is 26 ounces. If you have any questions, just ask.
First, you need to divide both sides of this equation by -2, making the equation |x-16|=-3. At this point you should know there cannot be any solutions to the equation because absolute value cannot be negative.
