To find the total amount paid for the 15-year mortgage, we will multiply the payments by the number of payments. They would have to pay 12 payments per year for 15 years.
![786.55(12)(15)=141579](https://img.qammunity.org/2023/formulas/mathematics/high-school/ls0khpretat1lqcbgyqebvurkqr9ldh279.png)
We will do the same for the 30-year mortgage
![543.77(12)(30)=195757.2](https://img.qammunity.org/2023/formulas/mathematics/high-school/hxmdax9lokhbnfgoj9nc06z6ms7k85tuwb.png)
If we subtract the two amounts, we will get
![195757.2-141579=54178.2](https://img.qammunity.org/2023/formulas/mathematics/high-school/xria2t28hpxkxw9in41aty08aymhrgltii.png)
Therefore, they would be able to save $ 54 178.20 if they chose the 15-year mortgage.