less then Dante and 6 points more than greg. how many points did each player scored ?
2006-10-10 11:57:22 · 5 answers · asked by ray-ray 1 in Science & Mathematics ➔ Mathematics
x + x + (x+2) + (x+6) = 48
4x + 8 = 48
4x = 40 x = 10
Greg = 10
Ed = 10
Frank = 12
Dante = 16
2006-10-10 12:02:37 · answer #1 · answered by rocketman9070 5 · 1⤊ 1⤋
Let Ed's score = x.
So Dante = X+6 (Dante scored 6 more than Ed)
Frank = (X+6)-4 = X +2 (Dante scored 4 more than Frank)
Greg = (X+2) - 6 = X - 4 (Frank scored 6 more than Greg)
(X+6) + (X +2) + (X - 4) = 48
3X + 4 = 48
3x = 48 -4
3x = 44
x = 11
So Ed's score is 11. Dante has 17. Frank has 13. And Greg has 7.
2006-10-10 12:20:07 · answer #2 · answered by Ace 2 · 0⤊ 0⤋
a = Dante
b = Ed
c = Frank
d = Greg
a + b + c + d = 48
a = b + 6
c = a - 4
c = d + 6
c = (b + 6) - 4 = b + 6 - 4 = b + 2
c = d + 6
d = c - 6
d = (b + 2) - 6 = b + 2 - 6 = b - 4
a = b + 6
b = b
c = b + 2
d = b - 4
a + b + c + d = 48
(b + 6) + b + (b + 2) + (b - 4) = 48
b + 6 + b + b + 2 + b - 4 = 48
4b + 4 = 48
b + 1 = 12
b = 11
a = 11 + 6 = 17
b = 11
c = 11 + 2 = 13
d = 11 - 4 = 7
ANS :
Dante = 17 points
Ed = 11 points
Frank = 13 points
Greg = 7 points
2006-10-10 13:21:28 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋
Let D=Dante's points, E=Ed's, F=Frank's, G=Greg's.
The given information yields the equations:
D+E+F+G=48
D=E+6
D=F+4
F=G+6
Now, eliminate variables: Using D=E+6,
2E+F+G+6=48
E+6=F+4
F=G+6
Again, using F=G+6:
2E+2G+12=48
E+6=G+10
Simplify:
E+G=18
E-G=4
Add equations:
2E=22
so E=11, D=17, F=13, G=7
2006-10-10 12:08:03 · answer #4 · answered by James L 5 · 0⤊ 0⤋
Dante 17
Frank 13
Ed 11
Greg 7
2006-10-10 12:01:12 · answer #5 · answered by Anonymous · 0⤊ 0⤋