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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.

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mhanifa

Answer:

  • Annie- 17 hours, Brian- 3 hours

Step-by-step 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

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