SOLUTION: Paul and Gary both bought a quantity of the same type of olives at a shop. Gary bought half the quantity of olives that Paul bought. The total cost of Gary’s and Paul’s olives wa

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Paul and Gary both bought a quantity of the same type of olives at a shop. Gary bought half the quantity of olives that Paul bought. The total cost of Gary’s and Paul’s olives wa      Log On


   



Question 967193: Paul and Gary both bought a quantity of the same type of olives at a shop.
Gary bought half the quantity of olives that Paul bought.
The total cost of Gary’s and Paul’s olives was $14.85. How much did Gary's olives cost?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x = quantity that gary bought.
2x = quantity that paul bought.

gary bought half the quantity that paul bought.
x is equal to 1/2 of 2x.

x + 2x = 14.95
combine like terms to get:
3x = 14.95
divide both sides by 3 to get:
x = 14.95 / 3 = 4.983333.
2x = 2 * 4.983333 = 9.966667.

4.983333 + 9.966667 = 14.95

answer to the question is:

gary's olives cost 4.983333 dollars.