a math club has 40 members. the number of girls is less than 2 times the number of boys. how many members are boys? how many members are girls?

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.

Step-by-step 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.