Problem Solving Involving Systems
Name: ______Date: ______
1. Lisa weighs 4 times as much as her baby sister. Together they weigh 95 pounds. How much does each one weigh?
2. You are selling tickets for a high school play. Student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2876. How many of each type of ticket did you sell?
3. Suppose Joe earned three times as much as Marty during the summer. Together they earned $210. How much did they earn?
4. You are ordering softballs for two softball leagues. The Pony League uses an 11-inch softball priced at $2.75. The Junior League uses a 12-inch softball priced at $3.25. The bill total reported a purchase of 80 softballs and the total price was $245. How many of each size did you order?
5. Your math teacher tells you that next week’s test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. Because you are studying systems, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are on the test?
6. A golden bracelet containing gold and copper weighs 238 grams. The volume of the bracelet is 15 cubic centimeters. Gold weighs 19 grams per cubic centimeter, and copper weighs 9 grams per cubic centimeter. How many grams of copper are mixed with the gold?
7. Two hungry football players go through a cafeteria line. One orders 3 slices of lasagna and 3 salads and pays $8.64. The other orders 4 slices of lasagna and 2 salads and pays $9.54. How much would one slice of lasagna and one salad cost?
8. For Mother’s Day a florist sells two bouquets. A bouquet of 5 roses and 10 carnations costs $8.75. A larger bouquet has a dozen roses and 15 carnations. It costs $16.50. Find the cost of one rose and one carnation.
9. The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $32.75. Premium cost $.20 more per gallon than regular. What is the cost per gallon of each type of gasoline?
10. You have 50 tickets to ride the Ferris wheel and the roller coaster. If you ride 12 times, using 3 tickets for each Ferris wheel ride and 5 tickets for each roller coaster ride, how many times did you go on each ride?
11. You spend $13 to rent five movies for the weekend. Since new releases rent for $3 and regular movies rent for $2, how many regular movies did you rent? How many new releases did you rent?