Please solve the following problems using a system of equati

Please solve the following problems using a system of equations. Remember, there are four parts to solving the problem. As you solve this problem, please answer each of the following questions. (I\'ve modified them from the problem solving strategy listed in the textbook). If you end up with a decimal answer, round to the nearest whole number. Problem 2: A Pesticide applicator needs to have 100 gallons of a pesticide solution with 8% copper. He has several barrels in his shop containing copper solutions; one is a 2% solution and the other is a 9% solution. How many gallons of each will be required to obtain 100 gallons of an 8% copper solution?

Question 1: What is the question you need to answer?

Question 2: What will your variables represent?

Question 3: What are the two equations that make up your system? [Recall: \"how many\" and \"how much\" .]

Question 4: Do the math. Show your steps and solve this system.

Question 5: State your final answer.

Solution

Let x gallons of 2% solution of copper is used

Let y gallons of 9% solution of copper is used.

x + y = 100 -------(1)

(2/100)x + (9/100)y = (8/100)100

0.02x + 0.09y = 8 -------(2)

Solve equations 1 and 2:

Mulitiply equation 1 by 0.02 we get

0.02x + 002y = 2

0.02x + 0.09y = 8

-------------------------------- ( subtraction)

-0.07y = -6

y = 85. 71 gallons

x = 14.28 gallons