Messi scored 79 goals in 51 games in the 2012 calendar year in a false nine position and Ronaldo scored 69 goals in 56 games as left winger. How many goals will Ronaldo have scored in a false nine position in the same amount of games as Messi. Explain in detail along with mathematical expressions.
To find the number of goals that Ronaldo would have scored in a false nine position in the same amount of games as Messi, we need to compare the goal-scoring rates of both players in their respective positions.
We can start by calculating Messi's goal-scoring rate in the false nine position in the 2012 calendar year. He played 51 games and scored 79 goals, so his goal-scoring rate would be:
Goal-scoring rate (Messi) = 79 goals / 51 games
Next, we need to assume that Ronaldo's goal-scoring rate as a left winger is the same as his goal-scoring rate in the false nine position. So, we can use this information to calculate Ronaldo's goal-scoring rate:
Goal-scoring rate (Ronaldo) = 69 goals / 56 games
Now, we can use these goal-scoring rates to find the number of goals Ronaldo would have scored in the same number of games as Messi.
Let's assume that Ronaldo plays x games as a false nine. To find the number of goals he would have scored, we can set up a proportion using the goal-scoring rates:
Goal-scoring rate (Ronaldo) / Goal-scoring rate (Messi) = Number of goals (Ronaldo) / Number of games (Ronaldo)
(69 goals / 56 games) / (79 goals / 51 games) = Number of goals (Ronaldo) / x games
By cross-multiplying, we get:
(69 goals / 56 games) * (51 games / 79 goals) = Number of goals (Ronaldo) / x games
Simplifying this equation, we get:
(69 * 51) / (56 * 79) = Number of goals (Ronaldo) / x games
Multliplying the numerator and denominator, we get:
(3519) / (4424) = Number of goals (Ronaldo) / x games
Now, we can solve for the number of goals Ronaldo would have scored (Number of goals (Ronaldo)) by multiplying both sides of the equation by x games:
(3519 * x) / (4424) = Number of goals (Ronaldo)
Thus, based on the given information and the calculations above, we can determine the number of goals Ronaldo would have scored in the same amount of games as Messi in the false nine position.
To determine the number of goals Ronaldo would have scored in a false nine position in the same amount of games as Messi, we need to calculate the goal-per-game ratio for both players in their respective positions.
First, we calculate Messi's goal-per-game ratio in the false nine position:
Goal-per-game ratio = Total goals / Total games
Goal-per-game ratio for Messi = 79 goals / 51 games
Next, we calculate Ronaldo's goal-per-game ratio as a left winger:
Goal-per-game ratio for Ronaldo = 69 goals / 56 games
Now, we have to find the number of games Ronaldo would have played as a false nine like Messi. Since Messi played 51 games, Ronaldo should also play 51 games.
Finally, we calculate Ronaldo's number of goals as a false nine:
Number of goals = Goal-per-game ratio * Number of games
Number of goals as a false nine for Ronaldo = Goal-per-game ratio for Ronaldo * 51 games
Given the information provided, we substitute the values into the formula:
Number of goals as a false nine for Ronaldo = (69 goals / 56 games) * 51 games
Simplifying the expression:
Number of goals as a false nine for Ronaldo = (69/56) * 51
Number of goals as a false nine for Ronaldo = 1.232 * 51
Number of goals as a false nine for Ronaldo ≈ 62.932
Therefore, Ronaldo would have scored approximately 63 goals in a false nine position in the same amount of games as Messi.