SOLUTION: The sum of four numbers is 783. One of the numbers a, is 25% more than the sum of the other three numbers. What is the value of a? A) 348 B) 435 C) 520 D) 585

Algebra ->  Expressions -> SOLUTION: The sum of four numbers is 783. One of the numbers a, is 25% more than the sum of the other three numbers. What is the value of a? A) 348 B) 435 C) 520 D) 585      Log On


   



Question 1043634: The sum of four numbers is 783. One of the numbers a, is 25% more than the sum of the other three numbers. What is the value of a?
A) 348
B) 435
C) 520
D) 585

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a+b+c+d=783
a=(b+c+d)*1.25
a=783-b-c-d
Therefore, 783-b-c-d=1.25(b+c+d)
783=2.25(b+c+d)
b+c+d=783/2.25=348
a=783-348=435
B