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

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