SOLUTION: I paid my bill using dimes only. If i had paid using only quarters, I would have needed 18 fewer coins. Jow much was my bill?

Question 857917: I paid my bill using dimes only. If i had paid using only quarters, I would have needed 18 fewer coins. Jow much was my bill?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes needed
Let = number of quarters if they were used
------------------
The bill is:

The bill is also:

and, by substitution:

-------------------
I can say:

and

----------------
The bill is:

This is cents or $3.00
-----------------------------
Or, if quarters were used:

or $3.00
OK

RELATED QUESTIONS
I paid my bill using dimes only. If I had paid using only quarters, I would have needed... (answered by KMST)

I paid my bill using dimes only. If i had paid using only quarters, I would have needed... (answered by JulietG)

i paid my bill in dimes if i had paid using quarters i would have needed 12 coins less... (answered by nerdybill)

To repay a loan, I used quarters only. If I had paid using dimes only, I would have... (answered by JulietG)

To repay a loan, I used quarters only. If i had paid using dimes only, I would have... (answered by JulietG)

Barb paid her bill with quarters. If she had use dimes instead, she would have needed 27... (answered by JulietG)

I paid my bill of $3.75using only coins. I used three times as many dimes as quarters and (answered by stanbon)

I used quarters to pay a loan from Brad. If I had paid using nickels, I would have needed (answered by MathTherapy)

To repay a loan, I used quarters only. If I used quarters only, I would have needed 51... (answered by JulietG)