Question

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $759 was left, what was his monthly salary?

Answer 1

Step-by-step explanation:

Given Information :

• Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
• Remaining money = $759

To calculate :

• His monthly salary.

Calculation :

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

$\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x}$

$\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x}$

$\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x}$

$\longrightarrow\sf {10x+ 15939= 21x}$

$\longrightarrow\sf {15939= 21x - 10x}$

$\longrightarrow\sf {15939= 11x}$

$\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x}$

$\longrightarrow\underline{\boxed{\bf {1449= x}}}$

Therefore, his monthly income is $1449.