Answer:
Marcus had saved $31.25.
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 [tex]x.[/tex]
The amount Leonard saved =
[tex]\frac{3}{5} \ of\ x-3\\\\=\frac{3}{5}\times x-3\\\\=\frac{3x}{5}-3[/tex]
And total they both saved = $47.00.
Now, to get the money Marcus saved:
[tex](x)+(\frac{3x}{5} -3)=47\\\\x+\frac{3x}{5}-3=47\\\\\frac{5x+3x-15}{5} =47\\\\\frac{8x-15}{5}=47[/tex]
Multiplying both sides by 5 we get:
[tex]8x-15=235[/tex]
Adding both sides by 15 we get:
[tex]8x=250[/tex]
Dividing both sides by 8 we get:
[tex]x=31.25.[/tex]
Therefore, Marcus had saved $31.25.
