SOLUTION: Michelle is three times as old as Fiona. Fiona is twice as old as Madeline. Madeline is seven years old. How old is Michelle? a. 42 years old b. 14 years old c. 21

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Michelle is three times as old as Fiona. Fiona is twice as old as Madeline. Madeline is seven years old. How old is Michelle? a. 42 years old b. 14 years old c. 21      Log On

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Question 831075: Michelle is three times as old as Fiona. Fiona is twice as old as Madeline. Madeline is seven years old. How old is Michelle?
a. 42 years old

b. 14 years old

c. 21 years old

d. 12 years old
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Let B = Moochelle's age
Let F = Fiona's age
Let M = Madeline's age
.
Here's the information from the question:
B = 3F (Michelle is three times as old as Fiona)
F = 2M (Fiona is twice as old as Madeline)
M = 7 (Madeline is seven years old)
.
If F is 2M, then F = 2*7 = 14
Since B is 3F, and we know F to be 14, multiply 3*14 to get
42 <<--