Linda spent 3/4 of her savings on furniture and the rest on a t.v . If the t.v. cost her $200, what were her original savings?
Let's assume Linda's original savings were x dollars.
She spent 3/4*x on furniture.
So, the remaining savings after buying furniture is x - 3/4*x = 1/4*x.
And she spent that remaining amount on a t.v., which is $200.
So, 1/4*x = $200.
Multiplying both sides of the equation by 4, we get x = $200 * 4 = $<<200*4=800>>800.
Therefore, Linda originally saved $800. Answer: \boxed{800}.
To find out Linda's original savings, we need to work backward from the given information.
Let's assume Linda's original savings were represented by the variable "x".
According to the problem, Linda spent 3/4 of her savings on furniture, which means she had 1 - 3/4 = 1/4 of her savings left to spend on the TV.
We are also given that Linda spent $200 on the TV. Since this amount represents 1/4 of her original savings, we can set up the following equation:
1/4 * x = $200
To solve for x, we need to isolate it.
First, we can multiply both sides of the equation by 4 to eliminate the fraction:
4 * (1/4 * x) = 4 * $200
This simplifies to:
x = 4 * $200
x = $800
Therefore, Linda's original savings were $800.
Let's work through the problem step-by-step to find Linda's original savings.
Step 1: Calculate the amount Linda spent on the TV
If Linda spent the remaining 1/4 of her savings on a TV, and the TV cost $200, we can find the total amount of her original savings by multiplying $200 by 4/1 (since 1/4 is equivalent to 4/1).
$200 * 4/1 = $800
Therefore, Linda's original savings were $800.