SOLUTION: A company rents bicycles , motor scooters and dune buggies. The total number of inventory is 165. There are three times as many bikes, as dune buggies and the number of motor scoot

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A company rents bicycles , motor scooters and dune buggies. The total number of inventory is 165. There are three times as many bikes, as dune buggies and the number of motor scoot      Log On


   

Question 1131844: A company rents bicycles , motor scooters and dune buggies. The total number of inventory is 165. There are three times as many bikes, as dune buggies and the number of motor scooters is four less than three times the number of bikes. Many many of each are there
Found 2 solutions by josgarithmetic, addingup:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Try to convert the long description into an equation in one variable, if practical. 
ITEM                   QUANTITY
Bicycles               3d
Motor Scooters         3*3d-4
Dune Buggies            d
TOTAL                   165

3d%2B9d-4%2Bd=165------solve and find the other two expressions for the table.
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13d=169
d=13, thirteendunebuggies

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
bikes + scooters + duneb = 165
d = 1/3b
s = 3b-4
let's substitute in the first formula above:
b + s + d = 165
b + 1/3b + 3b - 4 = 165
4 1/3b = 169
b = 169/4 1/3 = 39
There are 39 bikes
And the dune buggies are 1/3 of that, so there are 39(1/3) = 13 dune buggies
And scooters are 4 less than 3 x the number of bikes: (39 x 3) - 4 = 113 scooters
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Check:
Add the totals I gave you:
39 + 13 + 113 = 165 This is the correct answer