1. Section 3.2 – Problem Solving

2. Number Problems Numbers The sum of two numbers is 25. The difference of two numbers is 3. Find the numbers. Use Elimination

3. Number Problems Numbers Juan is thinking of two numbers. He says that 3 times the first number minus the second number is 118. In addition, two times the first number plus the second number is 147. Find the numbers. Use Elimination

4. Revenue and Cost Revenue Let represent a company’s revenue, let represent the company’s cost, and let x represent the number of units produced and sold each day. Find the company’s break-even point; that is, find x so that R = C. Use Substitution

5. Perimeter Perimeter The perimeter of a rectangle is 260 centimeters. If the width of the rectangle is 15 centimeters less than the length, what are the dimensions of the rectangle? Use Substitution

6. Mixtures Investments Marge and Homer have $80,000 to invest. Their financial advisor has recommended that they diversify by placing some of the money in stocks and some in bonds. Based upon current market conditions, he has recommended that three times the amount in bonds should equal two times the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds? Use Substitution

7. Mixtures Candy A candy store sells chocolate-covered almonds for $6.50 per pound and chocolate-covered peanuts for $4.00 per pound. The manager decides to make a bridge mix that combines the almonds with the peanuts. She wants the bridge mix to sell for $6.00 per pound, and there should be no loss in revenue from selling the bridge mix versus the almonds and peanuts alone. How many pounds of chocolate-covered almonds and chocolate-covered peanuts are required to create 50 pounds of bridge mix? Use Substitution