Question 152985: Chris has four more than twice as many rocks in his wagon as Gordon has in his wagon. If he gives gordon six rocks, he will have one more than gordon. How many rocks does each boy have in his wagon right now?
Answer by orca(409)   (Show Source):
You can put this solution on YOUR website! Suppose originally Chris has x rocks and Gordon has y rocks.
From the given information that "Chris has four more than twice as many rocks in his wagon as Gordon has in his wagon", we can set up an equation:
x = 2y + 4 ...................(1)
If he gives gordon six rocks, then Chris has x - 6 rocks and Gordon has y + 6.
From the given information that "If he gives gordon six rocks, he will have one more than gordon", we can set up another equation:
x - 6 = (y + 6) + 1 ..........(2)
Solving equations (1) and (2) simultaneously we have
x = 22
y = 9
So Chris has 22 rocks.
And Gordon has 9 rocks.
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