Problem Set
1. John is 20 years older than Brian. 12 years ago, John was twice as old as Brian. How old is Brian?
2. Mrs. Smythe has two dogs, Jackie and Stella, who weigh a total of 75 pounds. If Stella weighs 15 pounds less than twice Jackie's weight, how much does Stella weigh?
3. Caleb spends $72.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?
4. Abigail is 4 times older than Bonnie. In 6 years, Bonnie will be twice as old as Candice. If, 4 years from now, Abigail will be 36 years old, how old will Candice be in 6 years?
5. United Telephone charges a base rate of$10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
6. Ross is 3 times as old as Sam, and Sam is 3 years older than Tina. 2 years from now, Tina will drink from the Fountain ofYouth, which will make her half as old as she was. If after drinking from the Fountain, Tina is 16 years old, how old is Ross right now?
7. Carina has 100 ounces of coffee divided into 5- and lO-ounce packages. If she has 2 more 5-ounce packages than lu-ounce packages, how many 10-ounce packages does she have?
8. Carla cuts a 70-inch piece of ribbon into 2 pieces. If the first piece is five inches more than one fourth as long as the second piece, how long is the longer piece of ribbon?
9. In a used car lot, there are 3 times as many red cars as green cars. If tomorrow 12 green cars are sold and 3 red cars are added, then there will be 6 times as many red cars as green cars. How many green cars are currently in the lot?
10. Jane started baby-sitting when she was 18 years old. However, she only baby-sat children who were, at most, half her age. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person that Jane could have baby-sat?
11. If Tessie triples her money at blackjack and then leaves a ten-dollar tip for the dealer, she will leave the casino with the same amount of money as if she had won 190 dollars at roulette. How much money did Tessie take into the casino?
12. Mehmet buys 3 pencils, 2 notebooks, and an eraser for 80 cents. At the same store, Gloria buys 5 pencils, 5 notebooks, and an eraser for $1.45. Stan buys a pencil, a notebook, and an eraser for 45 cents. What is the price of each item?
13.Andrew will be half as old as Larry in 3 years. Andrew will also be one-third as old as Jerome in 5 years. If Jerome is 15 years older than Larry, how old is Andrew?
14. A circus earned $150,000 in ticket revenue by selling 1,800 V.LP. and Standard tickets. They sold 25% more Standard tickets than V.LP. tickets. If the revenue from Standard tickets represents a third of the total ticket revenue, what is the price of a V.LP. ticket?
15. 8 years from now, the bottle of wine labeled 'Aged' will be 7 times older than the bottle of wine labe1ed 'Table.' I year ago, the bottle of wine labeled 'Table' was one-fourth as old as the bottle of wine labeled 'Vintage.' If the'Aged' bottle was 20 times older than the 'Vintage' bottle 2 years ago, then how old is each bottle now?





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