Question 204917: Question 204841: Jack and Bob are farmers. Jack grows apples, Bob grows oranges. On May 9th, Jack has harvested 5000 apples, and Bob has harvested 300 oranges. However, Jack will harvest apples at a rate of 5/hr, and Bob will harvest oranges at a rate of 30/’hr. If Jack and Bob eventually end up with the exact same number of fruits, Jack agreed to eat 100 apples, and both will stop harvesting. If Jack and Bob never end up with the exact same number of fruits, both will stop harvesting on the hour that Bob has more fruit than Jack.
What is the mathematical equation used to solve this problem?
Will Jack have to eat 100 apples?
How many apples does Jack have at the end? How many oranges does Bob have at the end?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! On May 9th, Jack has harvested 5000 apples, and Bob has harvested 300 oranges. However, Jack will harvest apples at a rate of 5/hr, and Bob will harvest oranges at a rate of 30/’hr. If Jack and Bob eventually end up with the exact same number of fruits, Jack agreed to eat 100 apples, and both will stop harvesting. If Jack and Bob never end up with the exact same number of fruits, both will stop harvesting on the hour that Bob has more fruit than Jack.
What is the mathematical equation used to solve this problem?
Will Jack have to eat 100 apples?
How many apples does Jack have at the end? How many oranges does Bob have at the end?
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Let "x" be the required number of hours till they have the same number of fruit.
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Jack's number will be 5000+5x
Bob's number will be 300 + 30x
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Equation to determine value of "x":
5000+5x = 300+30x
25x = 4700
x = 188 hrs.
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I'll let you do the rest.
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Cheers,
Stan H.
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