Problem Set

    1. Solve the following problems using the four-step method outlined in this section.

    2. Johan is 20 years older than Brian. 12 years ago, Johan was twice as old as Brian. How old is Brian?

    3. Mrs. Miller 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?

    4. 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?

    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. Carla cuts a 70-inch piece of ribbon into 2 pieces. If the first piece is 5 inches more than one-fourth as long as the second piece, how long is the longer piece of ribbon?

    7. Jayla started babysitting when she was 18 years old. Whenever she babysat for a child, that child was no more than half her age at the time. Jayla is currently 32 years old, and she stopped babysitting 10 years ago. What is the current age of the oldest person for whom Jayla could have babysat?

    8. Ten years ago, Brian was twice as old as Aubrey.

      Quantity A Quantity B
      Twice Aubrey’s age today Brian’s age today
    9. The length of a rectangular room is 8 feet greater than its width. The total area of the room is 240 square feet.

      Quantity A Quantity B
      The width of the room in feet 12
    10. Jaden earns a yearly base salary of $30,000, plus a commission of $500 on every car he sells above his monthly minimum of two cars. Last year, Jaden met or surpassed his minimum sales every month, and earned a total income (salary plus commission) of $60,000.

      Quantity A Quantity B
      The number of cars Jaden
      sold last year
      90