One group of 28 fans had a celebration party after the game. The number of parents in the group was 4 greater than the number of teachers and 5 fewer than the number of students. How many of each kind of fan were at the party?
2006-10-10 11:08:03 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
You just have to use guess and check. I'm not telling you the answer, because it's your homework, so you have to figure it out. But here's an example:
Students: 12
Parents: 7
Teachers: 3
That would only add up to 22, so you know you have to increase the number of students, because that increases everything else. Have fun figuring it out!
2006-10-10 11:11:52 · answer #1 · answered by Anonymous · 0⤊ 1⤋
Let's call: The number of parents in the party, x.
The number of teachers in the party, y.
The number of students in the party, z.
One group of 28 fans had a celebration party after the game then:
x + y + z = 28 ---> Equation 1
The number of parents in the group was 4 greater than the number of teachers, then:
y + 4 = x ---> Equation 2
and 5 fewer than the number of students, then:
x + 5 = z---> Equation 3
From equation 2:
y +4 =x
then y = x -4
From equation 3:
x+5 = z
Substitute in equation 1:
x + y + z = 28
x + (x - 4) + (x +5) = 28
x + x -4 + x + 5 = 28
3x = 27
x = 9
y = x -4 = 9 -4 = 5
z = x +5 = 9+5 = 14
We had 9 parents, 5 teachers, and 14 students in the group.
2006-10-10 11:18:32 · answer #2 · answered by surgicalgod123 2 · 1⤊ 0⤋
14 students, 9 parents, and 5 teachers
2006-10-10 11:12:26 · answer #3 · answered by ? 3 · 1⤊ 0⤋
S+T+P = 28
P=T+4=S-5
T=P-4
S+P-4+P=28
S+2P=32
S+2(S-5)=32
S+2S-10=32
3S=42
S=14
P=9
T=5
2006-10-10 11:19:34 · answer #4 · answered by Liz 3 · 0⤊ 0⤋