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in one day Annie traveled 5 times the sum of the number of hours Brian traveled and two together they travel 20 hours find this number of hours each person traveled

asked
User Bjay
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2 Answers

5 votes

Annie must of traveled for 10 hours and Brian must have traveled 10 hours to.

answered
User Kerrion
by
8.5k points
2 votes

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.

Hope this helps!

answered
User Ankit Sompura
by
7.6k points

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