SOLUTION: Julie is z years old, her father is 4 times as old as Julie, while her mother is 7 years younger than her father. A) Write an expression for Julies fathers age. B) Write an expre

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Question 991692: Julie is z years old, her father is 4 times as old as Julie, while her mother is 7 years younger than her father.
A) Write an expression for Julies fathers age.
B) Write an expression for Julies mothers age.
C) Their 3 ages add up to 101. Write an expression for their total ages and find Julie's age.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Julie is z years old, her father is 4 times as old as Julie, while her mother is 7 years younger than her father.
A) Write an expression for Julies fathers age.
f = 4z
B) Write an expression for Julies mothers age.
m = f - 7
C) Their 3 ages add up to 101
Write an expression for their total ages
z + f + m = 101
:
find Julie's age.
Rewrite the 1st equation
4z = f
z = f
or
z = .25f
:
In the total age equation, replace z and m
.25f + f + (f-7) = 101
2.25f = 101 + 7
2.25f = 108
f = 108/2.25
f = 48 yrs is fathers age
"find Julie's age. "
z = .25(48)
z = 12 yrs is Julie's age
:
:
Check this out, find mom's age: 48 - 7 = 41
Total ages
12 + 48 + 41 = 101

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