Task A
At Costco people are buying supplies for quarantine. Jose buys ten packs of toilet paper and six gallons of hand sanitizer for a total of $63.50. Sara buys eight packs of toilet paper and twelve gallons of hand sanitizer for a total of $85.
Write an equation for both shoppers, be sure to define your variables
Let x = toilet paper
Let y =hand sanitizer
Sara believes that packages of toilet paper and gallons of hand sanitizer are $4.25 each. Do you agree with her? Why or why not?
Yes I do since if I multiplied twelve by 4.25 and 8 by 4.25 I get 85 which means 85 is the total after I multiply 4.35 by each.
Use the elimination method to determine the cost of one package of toilet paper and one gallon of hand sanitizer.
Isolate x:
Isolate y:
Task B:
Target is experiencing the same buying situation! Ahmed bought four packages of toilet paper and three gallons of hand sanitizer for $$27. Dillon, being a reasonable shopper, only decides to buy two packages of toilet paper and one gallon of hand sanitizer for $12.
Write an equation for each shopper using the same variables as Task A
Let x =
Let y =
Use the substitution method to determine the cost of one package of toilet paper and one gallon of hand sanitizer.
Task C:
Based on the solutions for Task A and Task B, explain which store offers a better deal on toilet paper and which store offers a better deal on hand sanitizer. Explain your answer using mathematical evidence from Tasks A and B and mathematical vocabulary.
Extension:
Create your own word problem involving systems and solve! Feel free to share your word problem with your peers and challenge each other to solve the problems!