SOLUTION: A father wishes to share $9000 between his two sons so that a fifth part of the eldest son's share exceeds by 90, the fourth part of what goes to the younger son. Calculate what ea

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Question 1099311: A father wishes to share $9000 between his two sons so that a fifth part of the eldest son's share exceeds by 90, the fourth part of what goes to the younger son. Calculate what each son would receive.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x equals the older son's share.
y equals the younger son's share.

x + y = 9000

1/5 * x = 1/4 * y + 90

multiply both side of the second equation by 5 to get:

x = 5/4 * y + 450

replace x in the first equation with this to get:

5/4 * y + 450 + y = 9000

combine like terms and subtract 450 from both sides of the equation to get:

9/4 * y = 8550

multiply both sides of this equation by 4/9 to get:

y = 3800

since x + y = 9000, then x = 5200

you have x = 5200 and y = 3800 for a total of 9000

1/5 * x = 1/4 * y + 90 becomes 1/5 * 5200 = 1/4 * 3800 + 90 which becomes 1040 = 950 + 90 which becomes 1040 = 1040 which is true.

your solution is that the older son receives 5200 and the younger son receives 3800.