Answer:
B. $536.00
Step-by-step explanation:
For this problem we need to evaluate top down to build our equation, and then solve bottom up to find how much she spent on rent.
Let Z represent Linda's salary
Let Y represent Linda's Water & Electric (given $268)
Let X represent Linda's Phone Bill
Let W represent Linda's gas bill (given $52)
We are given that after all Linda's expenses, she has $82 left.
So let's find Z/2.
Z/2 = Y + k
Where k is the remainder after Linda pays Y. Hence, k will be equivalent to X + W + 82.
So we can write:
Z/2 = Y + X + W + 82
Using our knowns, we can write in:
Z/2 = 268 + X + 52 + 82
We know that X is (Z/2 - Y)/2 from the sentence, "Next, she spent one-half of what she had left on her phone bill." So we can say X = k/2.
X = (X + W +82)/2
X = X/2 + 52/2 + 82/2
X = X/2 + 26 + 41
X - X/2 = X/2 - X/2 + 67
X/2 = 67
X = 134
So, now we can finish our equation to find Z/2.
Z/2 = 268 + X + 52 + 82
Z/2 = 268 + 134 + 52 + 82
Z/2 = 536
Hence, we have found that Linda spent half of her salary on rent, which was $536.00.
Cheers.
Answer:
Step-by-step explanation:
To solve this, we need to determine how much Linda's salary was. Then, we can divide the number by 2 to get the answer, as she spent 1/2 of her salary on rent.
The first step is to add up the remaining 1/2 and write an equation.
$268 + 1/2(s - 268) + $52 + $82 = s
Now, we combine like terms.
$402 + 1/2(s - 268) = s
$402 + 1/2s - 1/2(268) = s
$402 + 1/2s - $134 = s
$268 + 1/2s = s
1/2s = s - $268
1/2s = $268
s = $536
Now, we can check our answer by the equation
$402 + 1/2(536) - 1/2(268) = 536
$402 + 268 - 134 = 536
536 = 536 ✅
