Can the amount of each of these three debits be found out?

Between her home mortgage, car loan, and credit card bill,

Sheila is $115 000 in debit.

Each month Sheila's credit card accumulates 1.5% interest,

her car loan 1% interest, and her mortgage 0.8% interest.

After one month her total accumulated interest is $975.

The interest on Sheila's mortgage was $700 more than the interest on her car loan.

Find the amount of each of these three debits.

X = mortgage

Y = car loan

Z = credit card

X + Y + Z = 115 000

X = Y + 700

0.008 X + 0.01 Y + 0.015 Z = 975

2Y + Z = 114 300

8X + 10Y + 15Z = 975 000

18Y + 15Z = 969 400

18Y + 9Z = 1 028 700

6Z = -59 300

Z = -9883.33

X = 62 791.7, Y = 62 091.7, Z = -9883.33

It is doubtful if the problem is correct.

This is algebra not personal finance.

DO the equations.

X=mortgage

Y=car loan

Z=credit card

X+Y+Z=115000

X=Y+700

X(0.008)+Y(.01)+Z(.015)=975

You can solve the equations yourself.

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