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stealth61 [152]
3 years ago
7

There are 18 pieces of chalk. The ratio of chalk that is yellow to chalk that is not yellow is 1 to 2. How many pieces of chalk

are yellow?
Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
6 0
1:2...added = 3

1/3(18) = 18/3 = 6 (yellow chalk)
2/3(18) = 36/3 = 12 (not yellow)

so 6 pieces are yellow and 12 pieces are not
rjkz [21]3 years ago
4 0
6 chalk are yellow and 12 pieces of chalk are not yellow
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I'm going to assume that the room is a rectangle.

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:
A = lw\\
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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:
600 = x^{2} + 9x + 20\\
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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.
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The dimensions of your room are 25ft (length) by 24ft (width).
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