Answer:
She have $1133.33 in account which pays 5% annual interest and he have $1933.33 in account which pays 10% annual interest
Step-by-step explanation:
Let x be the amount she invested at 5% annual interest
She invested $800 more in 10%
So, she invested x+800 at 10% annual interest
Case 1:
Principal = x
Time = 1 year
Rate of interest = 5%
Case 2:
Principal = x+800
Time = 1 year
Rate of interest = 10%
Interest = Amount - principal = 880+1.1x-x=880+0.1x
Her total interest for a year is $250
So,
So the amount she invested at 5% annual interest is $1133.33
She invested at 10% annual interest=x+800=1133.33+800=1933.33
Hence she have $1133.33 in account which pays 5% annual interest and he have $1933.33 in account which pays 10% annual interest