SOLUTION: Emily is one quarter the age of aunt indgrid their total age is 60 how old is Emily

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Question 951641: Emily is one quarter the age of aunt indgrid
their total age is 60
how old is Emily

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let Emily's age be x and her aunt Ingrid y
if Emily is one quarter or 1%2F4 the age of aunt Ingrid, then we have:
x=%281%2F4%29y ....eq.1
if their total age is 60, then we have:
x%2By=60.......eq.2
to find out how old is Emily, solve this system:
x=%281%2F4%29y ....eq.1
x%2By=60.......eq.2
---------------------------substitute %281%2F4%29y for x from eq.1 in eq.2
%281%2F4%29y%2By=60.......eq.2 ....solve for y
y%2F4%2B4y%2F4=60
5y%2F4=60
5y=60%2A4
y=240%2F5
y=48
now find x
x=%281%2F4%29y ....eq.1
x=%281%2Fcross%284%291%29cross%2848%2912
highlight%28x=12%29
so, Emily is highlight%2812%29 years old

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Emily is one quarter the age of aunt indgrid
their total age is 60
how old is Emily
Let Emily’s age be E

Then her aunt’s age is: 4E

We then get: E + 4E = 60

5E = 60

E, or Emily’s age = 60%2F5, or highlight_green%2812%29