Last year, Jora spent

30% of his salary on rent

2/5 of his salary on entertainment

1/4 of his salary on living expenses.

He saved the rest of his salary.

Jora spent £3600 on living expenses.

Work out how much money he saved.

Respuesta :

Answer:

[tex]money\ saved=\$6,480[/tex]

Step-by-step explanation:

Let

x ----> Jora's salary

we know that

Jora spent

1) 30% of his salary on rent

[tex]30\%=30/100=0.30\\rent=0.30x[/tex]

2) 1/4 of his salary on living expenses

[tex]1/4=0.25\\living\ expenses=0.25x[/tex]

3) He saved the rest of his salary

[tex]rest\ of\ his\ salary=x-(0.30x+0.25x)=0.45x[/tex]

[tex]money\ saved=0.45x[/tex]

4) Jora spent £3600 on living expenses

[tex]living\ expenses=0.25x[/tex]

so

[tex]3,600=0.25x[/tex]

Solve for x

[tex]x=\$14,400[/tex]

Find out how much money he saved

Remember that

[tex]money\ saved=0.45x[/tex]

substitute the value of x

[tex]money\ saved=0.45(14,400)=\$6,480[/tex]