harleyload wrote:A man invests $22,000 into two accounts. One account pays 6% simple interest and the other pays 7% simple interest. The annual interest earned is $1,420. How much is invested in each account?

To learn how to set this up and solve it, try

**this lesson on "investment" word problems**.

Once you've learned the basic terms and techniques, you'll see how to set up the grid:

+----------+-----------+------+---+-----------------+

|##########| P * r * t = I |

+----------+-----------+------+---+-----------------+

| 6% acct. | x | 0.06 | 1 | 0.06x |

+----------+-----------+------+---+-----------------+

| 7% acct. | 22000 - x | 0.07 | 1 | 0.07(22000 - x) |

+----------+-----------+------+---+-----------------+

| total | 22000 |######| 1 | 1420 |

+----------+-----------+------+---+-----------------+

Note that the expression for the amount of the principal P invested in the 7% account comes from

**translating** the fact that, after "x" of the total was put into the other account, only (total) - x remained for the 7% account.

Since the total interest earned was the sum of the interest on each of the two investments, add the two "interest" expressions, and set equal to the given total. Then

**solve the resulting linear equation** for the value of "x". Back-solve for the other investment amount.

If you get stuck, please reply showing how far you have gotten. Thank you!