SOLUTION: a sum of money is to be divided among uri, anna and mariah in the ratio 4:7:9. if anna's share amount to $1295 calculate: a. the total sum of money to be shared b. uri share c.

Algebra ->  Proportions  -> Lessons -> SOLUTION: a sum of money is to be divided among uri, anna and mariah in the ratio 4:7:9. if anna's share amount to $1295 calculate: a. the total sum of money to be shared b. uri share c.      Log On


   



Question 398720: a sum of money is to be divided among uri, anna and mariah in the ratio 4:7:9. if anna's share amount to $1295 calculate:
a. the total sum of money to be shared
b. uri share
c. the percentage of the total amount mariah receives

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the original sum = $x.
Uri is to receive $4x.
Ana is to receive $7x.
Mariah is to receive $9x.
Anna's share is $1,295.00, so 7x = $1,295.00 Divide by 7 and....
x = $185.00
4x = $740.00
7x = $1,295.00
9x = $1,665.00
a) The total sum is 20x = 20($185.00) = $3,700.00
b) Uri's share = 4x = 4($185) = $740.00
c) The percentage of the total that Mariah receives is: %289x%2F20x%29100+=+45%