Answer:
24
Step-by-step explanation:
let W represent the number of wins
and let P represent the number of plays
let T represent profit from each play.
from the question, Marcelo played 3 times, this means 3P can represent the first equation
He won 7 times, 7W can represent the second equation
and T which is profit is the difference between the number of tokens he won in each game and the number of tokens he spent to play each game.
Therefore, T = 7W - 3P
to get the total profit we will multiply T by the number of games played (in this case, 6)
this means that 6T = (7W - 3P) * 6
Since Marcelo spent and won tokens, the above expression of W and P can be expressed by a single variable. What this means is that, we can make 7W equal 7P or 3P equal 3W since we are dealing in the same item (tokens won and played)
profit per game (T) = 7P - 3P = 4P
total profit (for 6 games) = 4P * 6 =24
Second expression
we can also look at it from this angle;
-3 tokens+7 tokens = profit per game
profit per game for Marcelo = 4 tokens
total number of games = 6
total profit for Marcelo =6*4 = 24
