# algebra

posted by
**Bill**
.

Amelia's parents and grand parents have both opened savings accounts to save for Amelia's education this year. Amelia's parents' savings account earned 5% interest and her grandparents account earned 8% interest. This year the two savings accounts have earned a total of $460 in interest. At the beginning of the year, the two accounts were worth a total of $6400. Determine the current values of both savings account.

Let x be the parents' account value and y be the grandparents account value t the beginning of the year.

x (0.05) + y (0.08) = 460

x + y = 6400

x + 1.6 y = 9200

0.6 y = 2800

y = $4666.67

x = $1733.33

To get the current values, add the interest gained in the previous year.