Certainly! Let's break down the problem step-by-step to find out how many marbles Raghraj had in the end.
1. Initial Number of Marbles:
- Raghraj starts with 30 marbles.
2. Marbles Won:
- Raghraj wins 3 marbles per game over 7 games.
- Therefore, the total number of marbles won is calculated by multiplying the marbles won per game by the number of games:
[tex]\[
3 \text{ marbles/game} \times 7 \text{ games} = 21 \text{ marbles}
\][/tex]
3. Marbles Lost:
- The problem states he lost [tex]$2 m$[/tex] garbles. This can be interpreted as 2 marbles lost per game over 7 games.
- Therefore, the total number of marbles lost is:
[tex]\[
2 \text{ marbles/game} \times 7 \text{ games} = 14 \text{ marbles}
\][/tex]
4. Calculate the Total Number of Marbles at the End:
- Start with the initial number of marbles:
[tex]\[
30 \text{ marbles}
\][/tex]
- Add the total number of marbles won:
[tex]\[
30 \text{ marbles} + 21 \text{ marbles} = 51 \text{ marbles}
\][/tex]
- Subtract the total number of marbles lost:
[tex]\[
51 \text{ marbles} - 14 \text{ marbles} = 37 \text{ marbles}
\][/tex]
Therefore, at the end, Raghraj has 37 marbles.
