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

Brian traveled 1 2/3 hours while Annie traveled 18 1/3 hours.

Explanation:
Let b be the number of hours Brian travels. Annie travles 5 times the sum of Brian's hours and 2, or 5(b+2). Together they travel 20 hours:
5(b+2)+b=20.

Use the distributive property:
5*b+5*2+b=20
5b+10+b=20.

Combine like terms:
6b+10=20.

Subtract 10 from both sides:
6b+10-10=20-10
6b=10.

Divide both sides by 6:
6b/6=10/6
b=5/3=1 2/3.

Brian travels 1 2/3 hours. This means Annie travels
5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.

121 pints. they had 176 and drank 55