in one day Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 40 hours. find the number of hours each person traveled

Answer 1

Let x = # of hours Brian traveled

Let 5(x+2) = # of hours Annie traveled

# of hours Brian traveled + # of hours Annie traveled = Total number of hours traveled

x + 5(x+2) = 40

Now need to solve.

Use the distributive property to get rid of the parenthesis

x + 5x +10 = 40

Combine like terms

6x +10 = 40

Subtract 10 from both sides and simplify

6x +10 - 10 = 40 - 10

6x = 30

Divide both sides by 6 and simplify

6x/6 = 30/6

x = 5

x = 5 = # of hours Brian traveled

Let 5(x+2) = # of hours Annie traveled

5(5+2)

5(7) = 35 = # of hours Annie traveled

Brian traveled 5 hours, Annie traveled 35 hours