Question

Three people split an amount of money. 1 268 dollars and 1 gets 200 dollars. The third gets 40 percent. What is the amount?

Answer 1

The total amount is $ 780

Solution:

Let the total amount be "x"

Given that,

First person gets $ 268

Second person gets $ 200

Third person gets 40 %

This means, third person gets 40 % of total amount

Third person = 40 % of x

`Third\ person = 40 \% * x\\\\Third\ person = (40)/(100) * x\\\\Third\ person = 0.4x`

We know that, total amount is equal to sum of amount got by all three persons

Total amount = first person + second person + third perosn

`x = 268 + 200+ 0.4x\\\\x - 0.4x = 268 + 200\\\\0.6x = 468\\\\x = (468)/(0.6)\\\\x = 780`

Thus the total amount is $ 780