Question

In one day, Annie traveled 5 times the sum of the number of hours Brian traveled and 3. Together they traveled 30 hours. Find the number of hours each person traveled.

Answer 1

a=annie
b=brian

a is 5 times of b and 3 means
a=5(b+3)
together travel 30
a+b=30

so
sub 5(b+3) for a
5(b+3)+b=30
distribute
5b+15+b=30
6b+15=30
minus 15 both sides
6b=15
divide boh sides by 6
b=2.5
sub back
a=5(b+3)
a=5(2.5+3)
a=5(5.5)
a=27.5

annie traveled 27.5 hours
brian traveled 2.5 hours