Question

Last Question...Please help if you can...(25 points if you answer this)

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.

Answer 1

• Annie- 17 hours, Brian- 3 hours

Explanation:

Let the number of hours Annie travelled be a, and same of Brian be b

Then we have

• a + b = 20
• a = 5b + 2

Substituting a in the first equation

• 5b + 2 + b = 20
• 6b = 20 - 2
• 6b = 18
• b = 3

Then finding a

• a = 20 - 3 = 17

So the answer is:

• Annie- 17 hours, Brian- 3 hours