Brayking410idn
Answered

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Lydia received her salary on Friday. She spent one-half of her salary on rent and then spent $168 on her electric and water bill. Next she spent one-half of what was left on her phone bill. After spending $57.00 on gas for her car, Lydia had $92.00 left. How much did Lydia spend on rent?

A. $298
B. $466
C. $764
D. $932

Sagot :

Mhanifaidn

Answer:

  • B) $466

Step-by-step explanation:

Let the amount of rent is R

Calculate the value of R in reverse order of spending

  • R = (92 + 57)*2 + 168 = 466

Correct choice is B

Semsee45idn

Answer:

B. $466

Step-by-step explanation:

[tex]\textsf{let}\: x= \textsf{Lydia's salary}[/tex]

[tex]\implies \textsf{rent}=\dfrac{1}{2}x[/tex]

Modelling the given information to find the total salary:

[tex]\implies \left(x-\dfrac{1}{2}x-168\right)-\dfrac{x-\frac{1}{2}x-168}{2}-57=92[/tex]

[tex]\implies \dfrac{1}{2}x-168-\dfrac{\frac{1}{2}x-168}{2}-57=92[/tex]

[tex]\implies \dfrac{1}{2}x-\dfrac{\frac{1}{2}x-168}{2}=317[/tex]

[tex]\implies x-(\frac{1}{2}x-168)=634[/tex]

[tex]\implies x-\frac{1}{2}x+168=634[/tex]

[tex]\implies \dfrac{1}{2}x=466[/tex]

[tex]\implies x=932[/tex]

Therefore, Lydia's total salary was $932

[tex]\implies \textsf{rent}=\dfrac{1}{2}(932)=\$466[/tex]

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