Final answer:
The question seems to have typos, but if solving for 'w' in 2w - 1/5 + w = 2, like terms are combined and simple algebra is used to find that w = 11/15. An alternative proportional method is suggested but appears unrelated given the context of the initial equation.
Step-by-step explanation:
The question appears to contain some errors or typos, making it difficult to interpret the intended mathematical problem. Assuming the question is trying to solve the equation 2w - 1/5 + w = 2, there are multiple methods to approach this.
Method 1: Combination of Like Terms
First, you can combine like terms:
2w + w = 3w
Then, move all the terms involving 'w' to one side of the equation:
3w - 1/5 = 2
Add 1/5 to both sides to isolate the 'w' terms:
3w = 2 + 1/5
Convert 2 to a fraction with a denominator of 5:
3w = 10/5 + 1/5
3w = 11/5
Finally, divide both sides by 3 to find 'w':
w = (11/5) / 3 = 11/15
Method 2: Equal Proportionality
Second method would be to use the proportion:
1/48 = w/16
Cross-multiply to solve for 'w':
1 * 16 = 48w
16 = 48w
Divide both sides by 48 to find 'w':
w = 16/48 = 1/3
However, this method seems inconsistent with the information given in the initial equation, suggesting there could be a misunderstanding in the information provided.