John and Bianca are challenging each other at computer games and decide to share a huge block of chocolate as the prize. They share the chocolate in the ratio of how many games each person has won. Calculate how much of the chocolate each one gets if it is made of 60 smaller blocks and if John wins seven games and Bianca wins five qames.
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To determine how much chocolate each person gets, we first need to find the total number of games won by both John and Bianca. John won 7 games, and Bianca won 5 games, making the total 12 games (7 + 5 = 12). The ratio of their wins is 7:5. Next, we find out how many parts the chocolate will be divided into. The total parts are 7 (John) + 5 (Bianca) = 12 parts. The chocolate consists of 60 smaller blocks, so we divide the chocolate into these 12 parts by calculating how many blocks each part corresponds to: 60 blocks ÷ 12 parts = 5 blocks per part. John, who won 7 games, gets 7 parts: 7 parts × 5 blocks/part = 35 blocks. Bianca, winning 5 games, gets 5 parts: 5 parts × 5 blocks/part = 25 blocks. So, John gets 35 blocks of chocolate, while Bianca gets 25 blocks. Enjoy the sweet victory!