Question

Maria invested a total of 31,000 in two account, first account earned a rate of 14%. How ever second account suffer a 10% loss in the same time. At the end of one year the total amount money gain 1,700. How much was invested in school account

Answer 1

Answer:the amount of money that Maria invested in the first account is $20000

the amount of money that Maria invested in the second account is $11000

Step-by-step explanation:

Let x represent the amount of money that Maria invested in the first account.

Let y represent the amount of money that Maria invested in the second account.

Maria invested a total of 31,000 in the two account. This means that

x + y = 31000

The first account earned a rate of 14%. This means that the amount earned on the first account is 14/100×x = 0.14x

However, the second account suffered a 10% loss in the same time. This means that the amount lost is

10/100×y = 0.1y

At the end of one year the total amount money gain 1,700. This means that

0.14x - 0.1y = 1700 - - - - --1

Substituting x = 31000 - y into equation 1, it becomes

0.14(31000 - y)- 0.1y = 1700

4340 - 0.14y - 0.1y = 1700

- 0.14y - 0.1y = 1700 - 4340

-0.24y = -2640

y = 2640/0.24 = 11000

x = 31000 - y = 31000 - 11000

x = 20000