# ALG WORD PROBLEM

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Loan Mixture: A student takes out a total of $5000 in three loans: one subsidized, one unsubsidized, and one from the parents of the student. The subsidized loan is $200 more than the combined total of the unsubsidized and parent loans. The unsubsidized loan is twice the amount of the parent loan. Find the amount of each loan.

Step 1:

x = subsidized

y = unsubsidized

z = parent

Step 2:

x + y+ z = 5000

Step 3:

Solution:

Subsidized loan =

Unsubsidized loan =

Parent loan =