There are a total of eighteen ghosts, witches, and scarecrows at the haunted house. The number of witches is 4 less than the number of ghosts. The number of scarecrows is 5 more than the number of witches, How many ghosts and witches are at the haunted house?
2006-10-05 15:03:53 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
*** this is the best answer ***
w=g-4 g=w+4
s=w+5
w+g+s=18
w+w+4+w+5=18
3w+9=18
3w=9
w=3
g=w+4=7
s=w+5=8
2006-10-05 15:11:55 · answer #1 · answered by Anonymous · 0⤊ 0⤋
9 scareceows 5 ghosts and 4 witches
2006-10-05 22:07:50 · answer #2 · answered by Lord Tanner 2 · 0⤊ 0⤋
x = ghosts
x - 4 = witches
x -4 + 5 = scarecrows (simplify to x + 1
add these together equal 18
x + x - 4 + x + 1 = 18
3x -3 = 18
3x = 21
x = 7
There are 7 ghosts
There are 7 - 4 or 3 witches
There are 7 + 1 or 8 scarecrows
2006-10-05 22:14:15 · answer #3 · answered by AskOnlyMe 3 · 0⤊ 0⤋
7 ghosts
3 witches and
8 scarecrows
2006-10-05 22:12:50 · answer #4 · answered by Ty 2 · 0⤊ 0⤋
g + w + s = 18
g - 4 = w, or g = w + 4
s = w + 5
so w + 4 + w + w + 5 = 18
3w + 9 = 18
3w = 9
w = 3 and so g = 7 and s = 8
2006-10-05 22:15:55 · answer #5 · answered by wild_turkey_willie 5 · 0⤊ 0⤋
eq. 1 G + W + S = 18
eq. 2 W = G - 4
eq. 3 S = W + 5
subs. eq. 2 in eq. 3
S = G - 4 + 5 = G + 1 eq. 4
subs. eq.2 and 4 in eq.1
G + G - 4 + G + 1 = 18
3G = 18 + 4 - 1
3G = 21
G = 7
subs. G=7 to eq.2
W = G - 4
W = 7 - 4
W = 3
there are 7 ghosts and 3 witches in the house
2006-10-05 22:09:19 · answer #6 · answered by kezongputi 2 · 0⤊ 0⤋
calvinroy had a good concept but I tink he is wrong in terms of the addition and subtraction.
S + W + G = 18
S - 5 = W
G - 4 = W
18 - 5 - 4 = 3W
9 = 3W
Therefore, W = 3
Therefore, G = 4 + 3 =7
2006-10-05 22:22:58 · answer #7 · answered by Anonymous · 0⤊ 0⤋
13ghosts 4 witches
2006-10-05 22:06:14 · answer #8 · answered by a_montana_chick 2 · 0⤊ 0⤋
x = witches
y =ghosts
z = scarecrows
x + y + z = 18
x - 4 = y
z + 5 = x
Solve for X in the first equation and than substitute your answer into the second. Simplify and solve
2006-10-05 22:06:43 · answer #9 · answered by Anonymous · 1⤊ 0⤋
easy there is 15
2006-10-05 22:11:36 · answer #10 · answered by mimi 1 · 0⤊ 0⤋