Systems of Equations Word Problems Quiz

A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30 total mowers were sold and the total sales for a given year was $8379.70, find how many smaller mowers were sold.

Type only the number as your answer, no letters, no words, and no spaces.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 

• 1s + 3c = 38
  2s + 3c = 52
• 3s + 1c = 38
  3s + 2c = 52
• s + c = 38
  s + c = 52
• 3s + 3c = 38
  1s + 2c = 52

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

• d + n = 6.60
  .10d + .05n = 80
• d + n = 80
  d + n = 6.60
• d + n = 80
  .10d + .05n = 6.60
• d + n = 80
  .05d + .10n = 6.60

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables? 

• t: # of tacos
  m: # of glasses of milk
• t: Cost of each taco
  m: Cost of each glass of milk
• t: total cost
  m: # of food items
• t: Cost of each glass of milk
  m: Cost of each taco

A chemist has one solution that is 80% acid and one that is 30% acid. How much of each solution is needed to make a 200 mL solution that is 62% acid?

• 128 mL of 80% solution

  72 ml of 30% solution

• 72 mL of 80% solution

  128 mL of 30% solution

• 150 mL of 80% solution

  50 mL of 30% solution

• 50 mL of 80% solution

  150 mL of 30% solution

The perimeter of a rectangular parking lot is 146 yards. The length is 7 yards less than 4 times the width. Find the length. Write only the number in your solution.

Pete and Sara are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Pete sold 6 apple pies and 4 lemon meringue pies for a total of $80. Sara sold 6 apple pies and 5 lemon meringue pies for a total of $94. What is the cost of one apple pie and one lemon meringue pie? Define your variables.

• x = cost per apple pie

  y = cost per lemon meringue pie

• x = # of apple pies

  y = # of lemon meringue pies

• x = apples

  y = lemons

• x = pies

  y = apples

A store owner wants to mix cashews and almonds. Cashews cost $2.00 a pound and almonds cost $5.00 per pound. He plans to sell 150 pounds of the mixture. How many pounds of each type of nut should be mixed if the store owner plans to sell the mixture for $3.00 per pound? Write a system to represent the given situation.

• c + a = 450

  2c + 5a = 150

• c + a 150

  2c + 5a = 3

• c + a = 150

  2c + 5a = 450

• c + a = 150

  2c + 5a = 300

John has dimes and quarters worth $4.50. He has four more quarters than dimes. How many quarters does he have?

• 4 quarters

• 10 quarters

• 14 quarters

• 8 quarters

Five times a number minus twice another number equals twenty - two. The sum of the numbers is three. Find the numbers.

• 4 & -1

• 1 & 2

• -4 & 7

• -2 & 5