Answer:
Let's solve this problem step by step:
Let's assume the initial number of boys in the Math Club is 4x, and the initial number of girls is 3x.
According to the given information, the ratio of boys to girls is 4:3. So, initially, we have a total of 4x + 3x = 7x members in the club.
After 8 more girls joined the club, the new number of girls is 3x + 8, while the number of boys remains the same, 4x.
The new ratio becomes 1:1, which means the number of boys is equal to the number of girls. Thus, we have the equation 4x = 3x + 8.
Simplifying the equation, we subtract 3x from both sides: 4x - 3x = 3x - 3x + 8.
This simplifies to x = 8.
Now, we can find the number of members in the club by substituting x back into our initial equation: 7x = 7 * 8 = 56.
Therefore, there are currently 56 members in the Math Club.
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Answers & Comments
Answer:
Let's solve this problem step by step:
Let's assume the initial number of boys in the Math Club is 4x, and the initial number of girls is 3x.
According to the given information, the ratio of boys to girls is 4:3. So, initially, we have a total of 4x + 3x = 7x members in the club.
After 8 more girls joined the club, the new number of girls is 3x + 8, while the number of boys remains the same, 4x.
The new ratio becomes 1:1, which means the number of boys is equal to the number of girls. Thus, we have the equation 4x = 3x + 8.
Simplifying the equation, we subtract 3x from both sides: 4x - 3x = 3x - 3x + 8.
This simplifies to x = 8.
Now, we can find the number of members in the club by substituting x back into our initial equation: 7x = 7 * 8 = 56.
Therefore, there are currently 56 members in the Math Club.