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Kiara invested $3,500 into two accounts. One account paid 5% interest and the other paid 7. 5% interest. She earned 6% interest on the total investment. How much money did she put in each account?.

Respuesta :

The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.

What are the simultaneous equations that can be used to represent the question?

0.05a + 0.075b = (0.06 x $3500)

0.05a + 0.075b = $210 equation 1

a + b = $3,500 equation 2

Where:

a = amount invested in the account that paid a 5% interest

b = amount invested in the account that paid a 7.5% interest

How much was invested in the account that pays a 7.5% interest?

In order to determine this value, multiply equation 2 by 0,05

0.05a + 0.05b = 175 equation 3

0.025b = 35

b = $1400

How much was invested in the account that pays a 5% interest?

a + $1400 = $3500

a = $3500 - 1400

a = $2100

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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