Given:
Bobby put 1/3 of his lawn mowing money into his savings
He uses the remaining 2/5 to buy a video game.
He has $12 left.
To find:
The amount did he have at first.
Solution:
Let x be the initial amount.
Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is
![x-\dfrac{1}{3}x=\dfrac{2}{3}x](https://tex.z-dn.net/?f=x-%5Cdfrac%7B1%7D%7B3%7Dx%3D%5Cdfrac%7B2%7D%7B3%7Dx)
He uses the remaining 2/5 to buy a video game. Then the remaining amount is
![Remaining=\dfrac{2}{3}x-\dfrac{2}{3}x\times \dfrac{2}{5}](https://tex.z-dn.net/?f=Remaining%3D%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B2%7D%7B3%7Dx%5Ctimes%20%5Cdfrac%7B2%7D%7B5%7D)
![Remaining=\dfrac{2}{3}x-\dfrac{4}{15}x](https://tex.z-dn.net/?f=Remaining%3D%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B4%7D%7B15%7Dx)
![Remaining=\dfrac{10x-4x}{15}](https://tex.z-dn.net/?f=Remaining%3D%5Cdfrac%7B10x-4x%7D%7B15%7D)
![Remaining=\dfrac{6x}{15}](https://tex.z-dn.net/?f=Remaining%3D%5Cdfrac%7B6x%7D%7B15%7D)
![Remaining=\dfrac{2x}{5}](https://tex.z-dn.net/?f=Remaining%3D%5Cdfrac%7B2x%7D%7B5%7D)
It is given that the remaining amount is $12.
![12=\dfrac{2x}{5}](https://tex.z-dn.net/?f=12%3D%5Cdfrac%7B2x%7D%7B5%7D)
![12\times 5=2x](https://tex.z-dn.net/?f=12%5Ctimes%205%3D2x)
![60=2x](https://tex.z-dn.net/?f=60%3D2x)
Divide both sides by 2.
![\dfrac{60}{2}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B60%7D%7B2%7D%3Dx)
![30=x](https://tex.z-dn.net/?f=30%3Dx)
Therefore, Bobby have $30 at first.
These shapes are geometric, which means they're equal. XW would be the same as XY, which is 18. The same goes towards WZ. WZ = ZY, so it'll be 29. Remember, since it's geometric, each side has to equal each other
Answer: 6.75% which rounds up to 7%
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
2
1
2
y-intercept:
(
0
,
−
2
)
(
0
,
-
2
)
x
y
0
−
2
2
−
1