SOLUTION: age Tammy, Brian, and Ahmad have a total of $ 80 in their wallets. Ahmad has 2 times what Brian has. Tammy has $ 8 more than Brian. How much does each have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: age Tammy, Brian, and Ahmad have a total of $ 80 in their wallets. Ahmad has 2 times what Brian has. Tammy has $ 8 more than Brian. How much does each have?       Log On


   



Question 1136087: age

Tammy, Brian, and Ahmad have a total of
$
80
in their wallets. Ahmad has
2
times what Brian has. Tammy has
$
8
more than Brian. How much does each have?

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

Did you really fall from an oak by posting in this format ?


Next time you will find such a post in the TRASH SECTION of this forum.



Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


It's elementary algebra....

(1) Determine a variable to use. Since the problem gives both Ahmad's amount and Tammy's amount compared to Brian's amount, the logical choice for the variable is Brian's amount. So

let x = Brian's amount

Then use the given information to build expressions using x for Ahmad's and Tammy's amounts.

then 2x = Ahmad's amount ("Ahmad has 2 times what Brian has")
and x+8 = Tammy's amount ("Tammy has $8 more than Brian")

Now write and solve the equation that says the sum of those three amounts is $80:

%28x%29%2B%282x%29%2B%28x%2B8%29+=+80