Complete Question:
A math club has 40 members. the number of girls is five less than 2 times the number of boys. how many members are boys? how many members are girls?
Answer:
There are 15 boys and 25 girls in math club.
Explanation:
This math club has 40 members. So, the members counts are combined counts of boys and girls. From this we can write
B + G = 40
Where,
B = boys and G = girls.
The second sentence gives us
G = 2 B - 5
Using substitution, we can revise the first equation using the expression for 'G' from the second equation.
B + G = 40
B + (2 B - 5) = 40
3 B = 40 + 5
3 B = 45
B = 15
Hence, there are 15 boys.
Given that there are 15 boys, use this value and evaluate G
15 + G = 40
G = 25
So, there are 25 girls.