In one day Annie traveled 5 times the sum of the number of hours brian traveled an 2. together they traveled 20 hours. find the number of hours each person traveled

A + b = 20

a = 5 (b + 2) = 5b + 10

5b + 10 + b = 20

6b + 10 = 20

6b = 20 - 10

6b = 10

b = 10/6

b = 1 2/3 hrs

a = 5b + 10

a = 5 (10/6) + 10

a = 50/6 + 10

a = 50/6 + 60/6

a = 110/6

a = 18 1/3 hrs

check ...

a + b = 20

110/6 + 10/6 = 20

120/6 = 20

20 = 20 (correct)

so Annie (a) traveled 110/6 hrs (or 18 1/3 hrs) and Brian (b) traveled

10/6 hrs (or 1 2/3 hrs)