SOLUTION: One garden has 5 times more raspberry bushes than another garden. After 22 bushes were transplanted from the first garden to the second one, the number of raspberry bushes in both

Algebra ->  Equations -> SOLUTION: One garden has 5 times more raspberry bushes than another garden. After 22 bushes were transplanted from the first garden to the second one, the number of raspberry bushes in both       Log On


   



Question 1010336: One garden has 5 times more raspberry bushes than another garden. After 22 bushes were transplanted from the first garden to the second one, the number of raspberry bushes in both the gardens became the same. How many bushes did each garden have originally?

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
F=number in first garden=5S; S=number in second garden
.
F-22=S+22
5S-22=S+22
4S=44
S=11
ANSWER 1: The second garden originally had 11 bushes.
.
F=5S=5(11)=55
ANSWER: The first garden originally had 55 bushes
.
CHECK:
F-22=S+22
55-22=11+22
33=33
.