Harriet spent $4050 on other supplies for her aviary. She spent $326 less on litter than she did on perches, and twice as much on nesting boxes as litter and perches combined. How much did she spend on perches?
spent on perches --- x
litter -------------- x -326
litter and perches combined = 2x - 326
nesting = 2(2x-326)
2x-326 + 2(2x - 326) = 4050
should be relatively easy to solve for x
I get x = 838
Wow! Thank you. I wish I could understand how to break it down as you did. I mean it makes perfect sense, but I couldn't do it. Maybe I need to go back to grammar school. Thank you so much.
To find out how much Harriet spent on perches, we first need to analyze the information given in the question.
Let's assume the amount Harriet spent on perches is "x" dollars.
According to the question, Harriet spent $326 less on litter than she did on perches. This means she spent (x - $326) dollars on litter.
The question also states that Harriet spent twice as much on nesting boxes as she did on litter and perches combined. So, the amount spent on nesting boxes is 2 * (litter + perches) dollars.
Given that Harriet spent $4050 on other supplies, we can set up an equation to solve for x (the amount spent on perches):
x + (x - $326) + 2 * (x + (x - $326)) = $4050
Simplifying the equation:
x + x - $326 + 2 * (2x - $326) = $4050
x + x - $326 + 4x - 2*$326 = $4050
6x - $652 = $4050
Adding $652 to both sides of the equation:
6x - $652 + $652 = $4050 + $652
6x = $4702
Dividing both sides by 6 to solve for x:
6x/6 = $4702/6
x = $783.67
So, Harriet spent $783.67 on perches.
Therefore, Harriet spent $783.67 on perches.