The diagram below represents a rectangular garden with walkways along the diagonals. A fountain is located at point F, which is the center of the park. Luke enters the park through the west gate and walks (4x + 5) yards to reach the fountain. Christo enters the park through the east gate and walks (6x – 15) yards to reach the same spot.
What is the approximate distance Luke walks to reach the fountain from the west gate of the park?
A.10 yards
B.15 yards
C2.5 yards
D.45 yards
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OpenStudy (anonymous):
OpenStudy (anonymous):
C is 25 yards
OpenStudy (anonymous):
not 2.5
OpenStudy (anonymous):
Great, what have you tried?
OpenStudy (anonymous):
its a whole complicated mess, idk y but i cant find the answer
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OpenStudy (anonymous):
We need to find out x, since F is in the center of the park that must mean
4x+5=6x-15
OpenStudy (anonymous):
Once you find x you can find out the distance Luke walked :)
OpenStudy (anonymous):
thnks :)
OpenStudy (anonymous):
i cant find it :(
OpenStudy (anonymous):
C is 25 yards
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OpenStudy (anonymous):
thnks :)
OpenStudy (anonymous):
medal?
OpenStudy (anonymous):
Yes answer 2.5
thjat is option(c)
OpenStudy (anonymous):
Thnx
OpenStudy (anonymous):
4x+5=6x-15
4x-6x=-15-5
-2x=-20
x=10
Luke = 4x + 5
= 4*10+5
=45
Luke walked 45 yards so the answer is D.