Question

Leonard and Marcus saved up a total of $47.00. Leonard has saved 3 dollars less than 3/5s as much as Marcus.How much had Marcus saved?

Answer 1

31.25

Explanation:

Answer 2

Marcus had saved $31.25.

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.`

The amount Leonard saved =

`(3)/(5) \ of\ x-3\\\\=(3)/(5)* x-3\\\\=(3x)/(5)-3`

And total they both saved = $47.00.

Now, to get the money Marcus saved:

`(x)+((3x)/(5) -3)=47\\\\x+(3x)/(5)-3=47\\\\(5x+3x-15)/(5) =47\\\\(8x-15)/(5)=47`

Multiplying both sides by 5 we get:

`8x-15=235`

Adding both sides by 15 we get:

`8x=250`

Dividing both sides by 8 we get:

`x=31.25.`

Therefore, Marcus had saved $31.25.