Question

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

Answer 1

Answer:

B. $466

Step-by-step explanation:

$\textsf{let}\: x= \textsf{Lydia's salary}$

$\implies \textsf{rent}=\dfrac{1}{2}x$

Modelling the given information to find the total salary:

$\implies \left(x-\dfrac{1}{2}x-168\right)-\dfrac{x-\frac{1}{2}x-168}{2}-57=92$

$\implies \dfrac{1}{2}x-168-\dfrac{\frac{1}{2}x-168}{2}-57=92$

$\implies \dfrac{1}{2}x-\dfrac{\frac{1}{2}x-168}{2}=317$

$\implies x-(\frac{1}{2}x-168)=634$

$\implies x-\frac{1}{2}x+168=634$

$\implies \dfrac{1}{2}x=466$

$\implies x=932$

Therefore, Lydia's total salary was $932

$\implies \textsf{rent}=\dfrac{1}{2}(932)=\ 466$

Answer 2

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