Please help me understading this question
"a cycling club has 2/3 boys, 2/9 girls and 3 adults. how many are in club? write an equation and solve"
Thank you for your input
6/9x + 2/9x + 3 = x
8/9x + 3 = x
3 = 1/9x
3/(1/9) = x
3 * 9 = x
27 = x
members in the club --- x
(2/3)x + (2/9)x + 3 = x
times 9
6x + 2x + 27 = 9x
x = 27
To understand this question, let's break it down step by step:
1. The question states that there is a cycling club.
2. The club consists of 2/3 boys, 2/9 girls, and 3 adults.
Now, we need to determine the total number of individuals in the club. We can solve this by writing an equation:
Let's say the total number of people in the club is represented by 'x'.
According to the question, the number of boys is 2/3 of the total number of people. So, the number of boys can be expressed as (2/3) * x.
Similarly, the number of girls can be expressed as (2/9) * x.
Since there are 3 adults in the club, we don't need to use a fraction for them.
Now, we can write the equation to represent the total number of individuals in the club:
(2/3)x + (2/9)x + 3 = x
We can now solve this equation to find the value of 'x' which represents the total number of people in the club.
Simplifying the equation, we have:
[(2/3) + (2/9)]x + 3 = x
To simplify the left side of the equation, we need to find a common denominator for 3 and 9. The least common multiple (LCM) of 3 and 9 is 9.
So, [(2/3) + (2/9)]x can be expressed as [(6/9) + (2/9)]x = (8/9)x.
Now we have:
(8/9)x + 3 = x
To eliminate fractions, we can multiply the entire equation by 9:
9 * (8/9)x + 9 * 3 = 9 * x
8x + 27 = 9x
Now, we can solve for 'x' by moving all the 'x' terms to one side and the constant terms to the other side:
8x - 9x = 27
-x = 27
Multiplying both sides by -1 (to isolate 'x'), we have:
x = -27
However, the number of individuals in a club cannot be negative. Therefore, there seems to be an error in the calculation or the information provided in the question.
I would recommend checking the question again or seeking clarification to ensure the correct answer can be determined.