brayking410
Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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 :

mhanifa

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

semsee45

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]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.