Answer:
3 is the answer
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Step-by-step explanation:
Answer:
![\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D)
Step-by-step explanation:
The computation of the fraction of her overall lawn remaining unmowed is shown below:
Let us assume that the back lawn be x
So the front lawn would be
![= \frac{1}{3}\times x\\\\ = \frac{x}{3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20x%5C%5C%5C%5C%20%3D%20%5Cfrac%7Bx%7D%7B3%7D)
So, the total lawn is ................... (i)
![= x + \frac{x}{3}\\\\ = \frac{4x}{3}](https://tex.z-dn.net/?f=%3D%20x%20%2B%20%5Cfrac%7Bx%7D%7B3%7D%5C%5C%5C%5C%20%3D%20%5Cfrac%7B4x%7D%7B3%7D)
The back lawn mowed is ![\frac{2x}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B3%7D)
Front lawn moved is ![\frac{x}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D)
So, the total mowed is ....................(ii)
![= \frac{2x}{3} + \frac{x}{6}\\\\ = \frac{5x}{6}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B2x%7D%7B3%7D%20%2B%20%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C%20%3D%20%5Cfrac%7B5x%7D%7B6%7D)
So, the total unmowed is
![= \frac{4x}{3} - \frac{5x}{6} \\\\= \frac{x}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B4x%7D%7B3%7D%20-%20%5Cfrac%7B5x%7D%7B6%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%7D%7B2%7D)
Now the fraction is
![= \frac{x}{2} \times \frac{3}{4x} \\\\ = \frac{3}{8}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7Bx%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B3%7D%7B4x%7D%20%20%5C%5C%5C%5C%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
The number of blue balls that are needed to balance four green, two yellow and two white balls is 16 blue balls.
<h3>Numbers of blue balls needed</h3>
Green(g)
Blue (b)
Yellow (y)
White (w)
First step is to formula an equation
3g=6b
g=2b
2y=5b
y=5/2b
4w=6b
w=3/2b
Second step is to substitute
4g+2y+2w
=4(2b)+2(5/2b)+2(3/2b)
=8b+5b+3b
=16b
Therefore 16 blue balls are needed.
Learn more about Numbers of blue balls needed here:brainly.com/question/27895170
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