Answer:
$5,000 in the 6% account and $15,000 in the 7% account.
Explanation:
From the question, We are given that the woman earns $1,350 in interest from two accounts, A and B respectively in one year. So, in account A= 6 percent and Account B= 7 percent.
So, If she has three times as much invested at 7 Percent. Then, we will have (7 percent × 3x) = 21 percent(x)
And if she invested 6 percent in the other account (6 Percent × 1x)= 6 Percent (x).
Then, (21/100) x + (6/100) x.
==> 0.21 x + 0.06 x= 0.27 x.
0.27 x will be equals to the interest the woman earns. That is, 0.27 x = $1,350.
Hence, x = $1,350/ 0.27 = $5,000.
In the account A, the woman will have $5,000 and in the account B, the woman will have, 3× $5,000 = $15, 000.