SOLUTION: A student takes out a total of $5000 in three loans: one subsidized, one unsubsidized and one from the parents of the students. The subsidized loan is $200 more than the combined

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Question 551970: A student takes out a total of $5000 in three loans: one subsidized, one unsubsidized and one from the parents of the students. The subsidized loan is $200 more than the combined total of the subsidized and parent loans. The unsubsidized loan is twice the parent loan. Find the amount of each loan.
I just can't figure out a solution here is what I got.
It's going to equal 5000
subsidized loan - x
unsubsidized loan - y
parent - z

The subsidized loan is $200 more than the combined total of the subsidized and parent loans.
x=(x+z)+200

The unsubsidized loan is twice the parent loan. y=2z

So the equation I come up with is x+z+200+2z+z=5000 or

4z+x+200=5000
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A student takes out a total of $5000 in three loans: one subsidized, one unsubsidized and one from the parents of the students. The subsidized loan is $200 more than the combined total of the subsidized and parent loans. The unsubsidized loan is twice the parent loan. Find the amount of each loan.
Parent loan = x
unsubsidised loan = 2x
The subsidised loan = 3x+200
x+2x+3x+200=5000
6x+200=5000
6x=5000-200
6x=4800
/6
x=800 ----- Parents
Unsubsidized loan 2x = 1600
subsidized loan = 3x+200
=3*800+200
=2600