Problema Solution

a social services worker was comparing other cost incurred by 3 families in heating their homes for the year. The first family had an annual heating bill that was $360 more than that of the second family. The third family had a heating bill that was $200 less than double the heating bill o the 2nd family. The total central heating bill for the three families was $3960. What was the annual central heating bill for all three families?

Answer provided by our tutors

Let the annual bill of 2nd family=x.

So, annual bill of 1st family=x+360.

Annual bill of 3rd family=2x-200.

Total bill is 3960 given.

So, x+x+360+2x-200=3960

4x+160=3960

4x=3800

x=3800/4=950.

 Annual bill of 2nd family=950

So, annual bill of 1st family=950+360=1310

Annual bill of 3rd family=2*950-200=1900-200=1700