266 Chapter 3 Systems of Linear Equations and Inequalities Vocabulary and Key Concepts 1. a. If the cost of one T-shirt is $12, how much will five T-shirts cost? How much will x T-shirts cost? b. If a solution contains 10% bleach, how much pure bleach is in a 20-L container? How much pure bleach is in a container holding x liters? c. If $5000 is in a savings account that earns 4% simple interest, how much interest is earned at the end of 1 yr? If y dollars is invested at 4% simple interest for 1 yr, how much interest is earned? d. If a boat travels b km/hr in still water and the current is c km/hr, then what is the speed of the boat traveling against the current? What is the speed of the boat traveling with the current? e. The sum of the measures of the angles within a triangle is . f. If the measure of an angle is x and the measure of its supplement is y, then x y . g. If the measure of an angle is x and the measure of its complement is y, then x y . h. If the measure of one acute angle in a right triangle is a and the other acute angle has measure b, then a b . Review Exercises 2. State three methods that can be used to solve a system of linear equations in two variables. For Exercises 3–4, state which method you would prefer to use to solve the system.Then solve the system. 3. 4. Concept 1: Applications Involving Cost 7x y 25 2x 5y 14 y 9 2x 3x y 16 5. A 1200-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $30,180 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold? (See Example 1.) 6. John and Ariana bought school supplies. John spent $10.65 on 4 notebooks and 5 pens. Ariana spent $7.50 on 3 notebooks and 3 pens.What is the cost of 1 notebook and what is the cost of 1 pen? 7. Mickey bought lunch for his fellow office workers on Monday. He spent $24.20 on 3 hamburgers and 2 fish sandwiches. Chloe bought lunch on Tuesday and spent $23.60 for 4 hamburgers and 1 fish sandwich.What is the price of 1 hamburger, and what is the price of 1 fish sandwich? 8. A group of four golfers paid $150 to play a round of golf. Of the golfers, one is a member of the club and three are nonmembers. Another group of golfers consists of two members and one nonmember.They paid a total of $75.What is the cost for a member to play a round of golf, and what is the cost for a nonmember? Section 3.4 Practice Exercises
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