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enyata [817]
3 years ago
13

A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%

, how much does she have in each account?​
Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

x = 3y

The total interest is $1,350.

Thus, we can write the equation:

1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000

Solving the two equations by substitution method:

7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000

Thus, she invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

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