The number of ducks on the pond triples when the new flock landed. Next, 11 more ducks came. The resulting number of ducks was 13 less than 4 times the original number. How many ducks were there to begin with?
2006-10-04 16:39:04 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
a = original flock
b = new flock
a + b = 3a
a + b + 11 = 4a - 13
3a + 11 = 4a - 13
24 = a
2006-10-04 16:44:31 · answer #1 · answered by bequalming 5 · 0⤊ 0⤋
x = original number of ducks on pond
3x = number of ducks on pond when flock lands
3x + 11 = number of ducks on pond after adding 11 more.
3x + 11 + 13 = number of ducks on pond that is 4 times the original number of ducks on the pond = 4x.
3x + 11 + 13 = 4x
24 = x
2006-10-04 23:54:46 · answer #2 · answered by T 3 · 0⤊ 0⤋
4x-13=3x+11
x=24 ducks
2006-10-04 23:45:16 · answer #3 · answered by Pascal 7 · 0⤊ 0⤋
The orginal number of ducks was 13.
X + 2X= 4X-13
3X=4X-13
X=13
2006-10-04 23:46:02 · answer #4 · answered by Navigator 2 · 0⤊ 1⤋
24!
y+x=3x
y+x+11=4x-13
2x=3x-24
x=24
2006-10-04 23:55:50 · answer #5 · answered by alwayss_ready 3 · 0⤊ 0⤋