Name:______Date:______Period:______

A7 Systems word problems

You work for a small business that sells bicycles, tricycles, and tandem bikes. Bicycles have one seat, two pedals, and two wheels. Tricycles have one seat, two pedals, and three wheels. Tandem bikes have two seats, four pedals, and two wheels.

  1. Write an algebraic equation that shows the relationship between the number of wheels (w) and the number of tricycles (t).
  1. On Monday you counted 48 tricycle wheels. How many tricycles were in the shop?
  1. On Wednesday there were no tandem bikes in the shop. There were only bicycles and tricycles. There are a total of 24 seats and 61 wheels in the shop. How many bicycles and how many tricycles are in the shop?
  1. A month later, there are a different number of bicycles, tricycles, and tandem bikes in the shop. There are a total of 144 front steering handlebars, 378 pedals, and 320 wheels. How many of each type are in the shop?
  1. Three months later some vehicles have sold and new models have been brought into the Wheel Shop. Now, there are a different number of bicycles, tandem bikes, and tricycles in the shop. There are a total of 135 seats, 118 front steering handle bars, and 269 wheels. How many tricycles are in the shop?
  1. The Wheel Shop sells other kids of vehicles. There are bicycles and go-carts in a different room of the shop. There are a total of 21 seats and 54 wheels in that room. How many of each are in the room?
  1. A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
  1. AHondadealershipsellsbothmotorcyclesandcars.Thereareatotalof200vehiclesonthedealership’slot. Thedetailercleanedallthewheelsofallthe vehicles,whichtotaled698wheels. Howmanymotorcyclesarethereonthelot?
  1. Forbreakfast,RandyhadtwoEggMcMuffinsandahashbrown,totaling750calories.Jackonlyhadone EggMcMuffinand ahashbrown,totaling450calories.Howmanycaloriesareineachitem?
  1. NateKaeding,theplacekickerfortheSanDiegoChargers,has scored120sofarthisseason. Hehasscoredallhispointson1‐pointextrapointkicksand3‐pointfieldgoals.Hehasmadeatotalof66kicks.Howmanyofeachkickhashemade?
  1. Fordinner,Pathadadoublecheeseburgerandtwomediumfriestotaling1200calories.Matthas twodoublecheeseburgersandonemediumfriestotaling1260calories.Howmanycaloriesareinonedoublecheeseburger?Oneorderofmediumfries?
  1. A theater has tickets at $6 for adults, $3.50 for students and $2.50 forchildren under 12 years old. A total of 278 tickets were sold for one showing with total revenue of $1300. If the number of adult tickets sold was 10 less than twice thenumber of student tickets, how many of each type of ticket were sold for the showing