Amount of money

Algebra Level 2

Peter had $5000, which he divided between two people in such a way that the first person got 4 times more than the second person. Now, the first person gives $1500 to the second person, and the two people end up having the same amount of money.

How much money (in dollars) did Peter give to the second person?

The answer is 1000.

3 solutions

Mohammad Khaza
Jul 18, 2017

suppose, the whole money = 5000$ =x

Peter divided them between 2 persons in 4:1 ratio accordingly.

so, 4x + x= 5000

or, x= $\frac {5000}{5}$ = $1000$

so, the 2nd person will get 1000$

@Munem Sahariar Avoid extraneous statements in the problem .Given the first statement , there is no need of the second one.

Ankit Kumar Jain - 3 years, 9 months ago

A Former Brilliant Member
May 2, 2017

let the amount of money of the first person be $A$ and the second person be $B$

we have

$\boxed{A=4B}$ $\color{#D61F06}(1)$

$A-1500=B+1500$ $\implies$ $A-B=3000$ $\implies$ $\boxed{A=3000+B}$ $\color{#D61F06}(2)$

Substitute $\color{#D61F06}(1)$ in $\color{#D61F06}(2)$ , we have

$4B=3000+B$

$3B=3000$

$B=1000$

Marta Reece
Jun 18, 2017

The first sentence is all you need to solve this problem.

Let $A=$ amount first person gets, $B=$ amount second person gets.

$A=4B$

$A+B=4B+B=5B=5000$

$B=\boxed{1000}$

Amount of money

The answer is 1000.

3 solutions

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