Answer
Find out the how many pounds did sofia recycle .
To prove
Let us assume that the james recycled be = x
As given
sofia recycled 3 pounds less than the amount james recycled.
hannah recycled 3 times the amount sofia recycled.
Sofia recycled be = x - 3
hannah recycled be = 3 × (x - 3)
As given
the three recycled a total of 73 pounds .
Than the equation becomes
x + x - 3 + 3 × (x - 3) = 73
x + x - 3 + 3x - 9 = 73
5x - 12 = 73
5x = 73 + 12
5x = 85
[tex]x= \frac{85}{5}[/tex]
x = 17
Sofia recycled be = x - 3
= 17 - 3
= 14 pounds
Therefore 14 pounds sofia recycled .
Let the amount James recycled be x.
Sofia recycled 3 pounds less than the amount James recycled.
Therefore, the amount Sofia recycled is x - 3.
Hannah recycled 3 times the amount Sofia recycled.
Therefore, the amount Hannah recycled = 3(x - 3).
The three recycled a total of 73 pounds.
Therefore, x + (x - 3) + 3(x - 3) = 73
x + x - 3 + 3x - 9 = 73
5x - 12 = 73
5x = 73 + 12
5x = 85
Divide both sides by 5.
x = 17
Number of pounds that Sofia recycled = x - 3 = 17 - 3 = 14.
Hence, Sofia recycled 14 pounds.
