Question

Susan had $120 and Patrick had twice as much money as her at first. Susan received some money and Patrick spent some money. The amount Susan received was 3 times as much as the amount Patrick spent. They had the same amount of money in the end. How much did Susan receive ? ​

Answer 1

ANSWER ⤵️

Given:

Susan had $ 120

Patrick had twice the money as her.

Susan received some money and Patrick spent some money.

The amount of money received by Susan is thrice of Patrick.

They had same money in end.

Concept:-

Linear Equations and Cases

Let us consider the amount of money of Patrick as $ 240, as its said that he had twice money as she had.

Let the money received by Susan and spent by Patrick be x.

Equation ;-

$\sf{x + 120 = 3( 240 - x)}$

$\sf{x + 120 = 720 - 3x}$

$\sf{x + 3x= 720 - 120}$

$\sf{4x = 600}$

$\sf{x = \dfrac{600}{4}}$

$\sf{x =150}$

So, Susan received $ 150 at the end, hence the answer.

HOPE IT WILL HELPS :)

Answer 2

Answer:

$120 ffghhhhhgygfghvvhvvhhv