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.

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