A group of teachers and pupils attended a concert. The teachers paid $1200 altogether and the pupils paid $640 altogether for their tickets.
The price of an adult ticket was $60 and there were 4 more female teachers than male teachers. How many male teachers were there in the group
1200/60= 20 (adults)
Female (f) + male (m) = 20
F = 20- m
F = 4+m
20-m = 4+m
2m = 16
m = 8
male teachers = 8
Well, it seems like we've got a math puzzle on our hands! Let's solve it with a touch of humor.
Firstly, we need to figure out the total number of teachers. Since the price of an adult ticket was $60 and they paid a total of $1200, we can divide $1200 by $60 to find the number of teachers.
$1200 ÷ $60 = 20
So, there were 20 teachers in total.
Now, let's find out how many male teachers there were. We know that there were 4 more female teachers than male teachers. So, let's assume that there were x male teachers, which means there were x+4 female teachers.
Now, let's calculate the total number of male and female teachers:
Number of male teachers = x
Number of female teachers = x + 4
Since the total number of teachers is 20, we can add the number of male and female teachers together:
x + (x + 4) = 20
Combining like terms, we get:
2x + 4 = 20
Now, let's subtract 4 from both sides of the equation:
2x + 4 - 4 = 20 - 4
Simplifying further:
2x = 16
Lastly, let's divide both sides of the equation by 2:
2x / 2 = 16 / 2
Which gives us:
x = 8
So, there were 8 male teachers in the group. I hope this answer didn't give you too much of a math-tease!
$1200 ÷ $60 ⇒ To find out the number of teachers
= 20 teachers
= 20 ÷ 2 = 10
There were 4 more female teachers. So,
10 + 4 = 14
20 - 14 = 6
Male teachers = 6
Female teachers = 14
To find the number of male teachers in the group, we need to break down the given information step by step.
Let's suppose the number of male teachers in the group is 'x'.
Since there were 4 more female teachers than male teachers, the number of female teachers can be represented as 'x + 4'.
Now, let's calculate the total amount paid by the teachers. The price of an adult ticket is $60, and the total amount paid by the teachers is $1200. We can set up an equation to represent this:
60x + 60(x + 4) = 1200
Expanding this equation, we get:
60x + 60x + 240 = 1200
Combining like terms:
120x + 240 = 1200
Next, let's isolate 'x' by subtracting 240 from both sides of the equation:
120x = 1200 - 240
120x = 960
Now, divide both sides of the equation by 120:
x = 960 / 120
Simplifying:
x = 8
Therefore, there were 8 male teachers in the group.
1200 /60= 20 teachers.
20/2=10.
there were 4 more female teachers so 10 plus 4 =14.
and 10-4=6.
so there were 6 male teachers.
If there were x male teachers, then we know that
f = m+4, so
(m + m+4) * 60 = 1200
Now just find m