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cupoosta [38]
3 years ago
9

One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to th

e second garden, the number of raspberry bushes in the gardens are the same. How many bushes did each garden have originally?
Please show work and no links or files! :)
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Let the number of raspberry bushes in one garden = x

And the number of raspberry bushes in second garden = y

Garden one has 5 times as many raspberry bushes as second garden,

So the equation will be,

x = 5y -------(1)

If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,

Therefore, (x - 22) = (y + 22)

x - y = 22 + 22

x - y = 44 ------(2)

Substitute the value of x from equation (1) to equation (2)

5y - y = 44

4y = 44

y = 11

Substitute the value of 'y' in equation (1),

x = 5(11)

x = 55

Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.

Learn more,

brainly.com/question/12422372

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