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One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to the second garden, the number of raspberry bushes in the gardens are the same. How many bushes did each garden have originally?

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Respuesta :

    To solve this problem form the system of equations as per statements given in the question then get the answer by solving them.

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

   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 for the given statement will be,

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

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

Therefore, equation for this statement will be,

(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.

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