SOLUTION: I just can not figure out how to set this one up.....and I need the answer quick. Please Help Me!!!!! Ed and Dave are going to divide a cash prize of $14,000 in a ratio of 2 to

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Question 19321: I just can not figure out how to set this one up.....and I need the answer quick. Please Help Me!!!!!
Ed and Dave are going to divide a cash prize of $14,000 in a ratio of 2 to 5. How much will Dave receive?
Answer by Earlsdon(6287) About Me  (Show Source):
You can put this solution on YOUR website!
You can use proportions for this problem. Let $x = the amount that Ed receives, then Dave will get $(14,000-x)
2%2F5+=+x%2F%2814000-x%29 Cross-multiply.
2%2814000-x%29+=+5x
28000+-+2x+=+5x Add 2x to both sides.
28000+=+7x Divide both sides by 7.
4000+=+x
So, Ed receives $4,000.00 while Dave will get ($14,000.00 - $4,000.00) $10,000.00
Check:%284000%29%2F%2810000%29+=+2%2F5