Question is attached!

$3,000 was invested in the account that gained 13%

$17,500 was invested in the account that lost 10%

Step-by-step explanation:

Let the amount in both accounts be x and y

x for the first and y for the second

Adding both is 20,500

x + y = 20,500 •••••(i)

First account earned 13% profit

= 13/100 * x = 0.13x

Second account, a loss of 10%

= -10/100 * y = -0.1y

Total loss of -1,360

This is;

-0.1y + 0.13x = -1,360 •••••••(ii)

From i, x = 20,500-y

Insert this into ii

-0.1y + 0.13(20,500-y) = -1,360

-0.1y + 2665 -0.13y = -1360

-0.23y = -1360-2665

-0.23y = -4025

y = -4025/-0.23

y = 17,500

To get x, we have

x = 20,500 -y

x = 20,500- 17,500

x = 3,000

3 is greater then both of those numbers