Ano: 2024 Banca: Instituto Consulplan Órgão: Câmara de Poços de Caldas - MG Provas: Instituto Consulplan - 2024 - Câmara de Poços de Caldas - MG - Analista Legislativo Contador
Ruth and Silvana are cousins and take part in competitions involving chess games. On a training day, the two cousins decided to play several games against each other, betting R$20.00 on each game. After the last game of the day, they counted that Silvana had won 4 games and Ruth ended up with a balance of R$ 60.00 from the bets. According to the above, how many games did they play?
Each match is 20.00, so whoever has a balance of 60.00 has won 3 more matches, and the other cousin has won 4 more matches:
Let's consider that the total number of matches is the number of matches Ruth won plus the number of matches Silvana won, because they are tight and complementary, with no missing or left over. So I want to know how many matches there were, whatever the number we have the Silvana won 4, but if Ruth has a balance of 3 the total can only be like this Ruth won 4+3 which is 7 plus Silvana's 4 matches gives 11 matches.
Mathematically: R - S = 3; R - 4 = 3; R = 7; Total: 7 + 4 = 11.
Proving it right S = 20.00 x 4 = 80.00
R = 7 x 20.00 = 140.00
Proof of correctness: 140.00 - 80.00 = 60.00 correct
Rute Bezerra de Menezes Gondim
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