If Charlotte spent 25% more on furniture than she will on flooring, how much did she spend on furniture?
1 answer:
Answer:
Charlotte spent on furniture
Step-by-step explanation:
Given:
Charlotte spent 25% more on furniture than she will on flooring
To Find:
Amount spent on furniture = ?
Solution:
Let the amount spent on flooring be x
and the amount spent on furniture be y
25% more on furniture than she spent on flooring can be written as
=>25% of x
So the cost spent on furniture will be
=>y= cost spent on flooring + 25% of cost spent on flooring
=>y= x + 25% of x
=>y=
=> y=
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The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.
You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.
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