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Question 29748: 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?
Thank you.
Answer by sdmmadam@yahoo.com(530)   (Show Source):
You can put this solution on YOUR website! 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?
Let Ed’s share be $A
and let Dave’s share be $B
A+B = 14000----(1)
A/B= 2/5 which implies
5A = 2B ----(2)
(1) gives B = (14000-A) ----(*)
Using (*) in (2)
5A = 2(14000-A)
5A = 28000-2A
5A+2A = 28000
7A = 28000
A = 28000/7 = 4000
Putting A = 4000 in (*),we have
B = 14000-4000 = 10000
Answer: Ed’s share = $4000 and Dave’s share=$10000
Vrification: (4000+10000) = 14000 and 4000/10000 = 4/10 = 2/5 which is correct
Note: If you are not required to do this problem in the form solving of two linear equations in two unknowns you may do this problem orally
The ratio of Ed’s and Dave’s shares is 2: 5 means out of every (2+5=) 7 dollars
Ed gets $2 and Dave gets $5
And there are (14000/7) = 2000 sevens in the total amount $14000
Therefore Rd’s share is 2X2000 = $4000 and
Dave’s share is 5X2000 = $10000.
Simple -is n’t it?
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