SOLUTION: a sum of money was shared by daniel, elliot, and frank in the ratio of 5:7:8, if frank's share was $2781 more than daniel's, what was the original amount of the money shared

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a sum of money was shared by daniel, elliot, and frank in the ratio of 5:7:8, if frank's share was $2781 more than daniel's, what was the original amount of the money shared       Log On


   

Question 1063694: a sum of money was shared by daniel, elliot, and frank in the ratio of 5:7:8, if frank's share was $2781 more than daniel's, what was the original amount of the money shared
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a sum of money was shared by daniel, elliot, and frank in the ratio of 5:7:8,
if frank's share was $2781 more than daniel's,
what was the original amount of the money shared
:
let x = the multiplier
then
5x = d's share
7x = e's share
8x = f's share
:
" frank's share was $2781 more than daniel's,", therfore:
8x = 5x + 2781
8x - 5x = 2781
3x = 2781
x = 2781/3
x = 927 is the multiplier
"what was the original amount of the money shared
927(5) + 927(7) + 927(8) = $18540
:
:
Check: 20(927) = 1840