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Investments An investor deposited $5000 in two accounts. Two times the smaller deposit is $1000 more than the larger deposit. Find the amount deposited in each account.

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IamN1K0

Answer:

To find the amounts deposited in each account, we can set up a system of equations based on the given information:

Let x be the amount deposited in the smaller account

Let y be the amount deposited in the larger account

From the information given, we know that:

1. The investor deposited $5000 in total, so x + y = 5000

2. Two times the smaller deposit (2x) is $1000 more than the larger deposit (y), so 2x = y + 1000

Now, we can solve this system of equations to find the values of x and y:

1. Substitute the value of y from the second equation into the first equation:

x + 2x = 5000

3x = 5000

x = 5000 / 3

x = 1666.67 (approx.)

2. Substitute the value of x back into the second equation to find y:

2(1666.67) = y + 1000

3333.33 = y + 1000

y = 3333.33 - 1000

y = 2333.33 (approx.)

Therefore, the amount deposited in the smaller account is approximately $1666.67 and in the larger account is approximately $2333.33.

Step-by-step explanation:

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