Answer:
Marcus had saved <u>$31.25</u>.
Step-by-step explanation:
Given:
Leonard and Marcus saved up a total of $47.00.
Leonard has saved 3 dollars less than 3/5s as much as Marcus.
Now, to get the amount Marcus saved.
Let the amount Marcus saved be ![x.](https://tex.z-dn.net/?f=x.)
The amount Leonard saved =
![\frac{3}{5} \ of\ x-3\\\\=\frac{3}{5}\times x-3\\\\=\frac{3x}{5}-3](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%5C%20of%5C%20x-3%5C%5C%5C%5C%3D%5Cfrac%7B3%7D%7B5%7D%5Ctimes%20x-3%5C%5C%5C%5C%3D%5Cfrac%7B3x%7D%7B5%7D-3)
And total they both saved = $47.00.
Now, to get the money Marcus saved:
![(x)+(\frac{3x}{5} -3)=47\\\\x+\frac{3x}{5}-3=47\\\\\frac{5x+3x-15}{5} =47\\\\\frac{8x-15}{5}=47](https://tex.z-dn.net/?f=%28x%29%2B%28%5Cfrac%7B3x%7D%7B5%7D%20-3%29%3D47%5C%5C%5C%5Cx%2B%5Cfrac%7B3x%7D%7B5%7D-3%3D47%5C%5C%5C%5C%5Cfrac%7B5x%2B3x-15%7D%7B5%7D%20%3D47%5C%5C%5C%5C%5Cfrac%7B8x-15%7D%7B5%7D%3D47)
<em>Multiplying both sides by 5 we get:</em>
![8x-15=235](https://tex.z-dn.net/?f=8x-15%3D235)
<em>Adding both sides by 15 we get:</em>
![8x=250](https://tex.z-dn.net/?f=8x%3D250)
<em>Dividing both sides by 8 we get:</em>
![x=31.25.](https://tex.z-dn.net/?f=x%3D31.25.)
Therefore, Marcus had saved $31.25.