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

Step-by-step explanation:

ANSWER:-

Given that:-

• 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's Do!

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.

So, 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.

Answer 2

Answer:

Given :-

• Susan had $120
• Patrick had twice money at first
• Susan recived and Patrick spent some money
• The amount Susan received was 3 times as much as the amount Patrick spent
• At last they have same amount

To Find :-

Money Susan recived

Solution :-

At first Patrick had twice of Susan.

Hence,

He have 2 × 120 = $240

Let the money received be x

x + 120 = 3(240 - x)

x + 120 = 720 - 3x

3x + x = 720 - 120

4x = 720 - 120

4x = 600

x = 600/4

x = 150

$\fbox{Susan \: had \: 150}$