Lala4225idn
Answered

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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?

Sagot :

KimYuriiidn

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

[tex]\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\ [/tex]

[tex]\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\ [/tex]

[tex]\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\ [/tex]

[tex]\longrightarrow\sf {10x+ 15939= 21x} \\ [/tex]

[tex]\longrightarrow\sf {15939= 21x - 10x} \\ [/tex]

[tex]\longrightarrow\sf {15939= 11x} \\ [/tex]

[tex]\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\ [/tex]

[tex]\longrightarrow\underline{\boxed{\bf {1449= x}}} \\ [/tex]

Therefore, his monthly income is $1449.

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