Question

Mrs. Kozlova has a wonderful flower garden. She made sure that for every 18 mums she plants 12 tulips and for every 9 tulips there are 2 rose bushes. What is the maximum number of rose bushes that Mrs. K. Can plant if the number of mums cannot exceed 110.

Answer 1

16

Step-by-step explanation:

16 rose bushes

Answer 2

Answer: The maximum numbers of rose bushes in garden is 16.

Step-by-step explanation:

It is given that for every 18 mums she plants 12 tulips and for every 9 tulips there are 2 rose bushes.

Let the mums, tulips and roses are defined by M, T and R respectively.

From the given information,

`9T=2R`

`1T=(2)/(9)R`

`12T=(2)/(9)(12)R`

`12T=(8)/(3)R`

Since it is given that
`18M=12T`, we get,

`18M=(8)/(3)R`

`1M=(8)/(3(18))R`

`1M=(4)/(27)R`

`110M=(4)/(27)(110)R`

`110M=16.296R`

From the above equation 110 mums we need 16.3 roses. So, the number mums exceeds 110 if the roses are 17.

Therefore, the maximum numbers of rose bushes in garden is 16 for which the number of mums cannot exceed 110.