Question 547325: Six grapefuit ost as mch as a dozen organges. The cost of a dozen grapefuit and two dozen oranges is $12. How much does one grapefuit cost? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Six grapefuit cost as much as a dozen oranges.
The cost of a dozen grapefuit and two dozen oranges is $12.
How much does one grapefuit cost?
------
Equations:
6g = 12r
12g + 24r = 1200 cents
----
g = 2r
Substitute and solve for "r":
12(2r) + 24r = 1200
24r + 24r = 1200
48r = 1200
r = 25 cents (cost of one orange)
----
Solve for "g":
g = 2r = 50 cents (cost of one grapefruit)
======================
Cheers,
Stan H.
======================