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How Do You Solve a Word Problem with an Equation Using Division?

Maria's uncle Jack is three times as old as she is. If Jack is 36, how old is Maria?

Summary

  1. 'm' is a variable representing Maria's age
  2. '3m = 36' is the equation we created from the word problem
  3. 36/3 = 12
  4. Substitute our answer '12' for 'm' in the original equation to make sure our answer is correct
  5. '36 = 36' is a true statement, so Maria's age is definitely '12'

Notes

    1. 'm' is a variable representing Maria's age
    1. 'm' is a variable representing Maria's age
    1. 'm' is a variable representing Maria's age
    1. Jack's age = 3(Maria's age) = 3m
    2. 'm' is a variable representing Maria's age
    1. Jack's age = 3(Maria's age) = 3m
    2. Jack's age = 36
    3. 3m = 36
    4. 'm' is a variable representing Maria's age
    1. 3m = 36
    2. 'm' is a variable representing Maria's age
    1. 'm' is a variable representing Maria's age
    1. 'm' is a variable representing Maria's age
    1. 3m = 36
    2. 'm' is a variable representing Maria's age
    1. Dividing '3m' by '3' will give us 'm' by itself
    2. 'm' is a variable representing Maria's age
    3. 36/3 = 12
    1. 'm' is a variable representing Maria's age
    1. '3m = 36' is the original equation we created from the word problem
    1. '3m = 36' is the original equation we created from the word problem
    2. We're substituting 'm' with '12'
    3. 3(12) = 36
    1. We got '36' on both sides of the equation
    1. Jack's age = 3m = 36
    2. 'm' is a variable representing Maria's age
    3. Solving for 'm' shows us that Maria is 12 years old