Question

i had 3 times as many rose bushes as holly bushes in my garden. Then i moved seven of my rose bushes to my grandfather’s garden, and i planted 11 new holly bushes in my garden. Now my garden gas half as many rose bushes as holly bushes. How many rose bushes and holly bushes, in all, did i have initially

Answer 1

Initially, there were 15 rose bushes and 5 holly bushes in the garden.

Step-by-step explanation:

Let's say you initially had x rose bushes and y holly bushes in your garden. According to the given information, x = 3y.

After moving seven rose bushes to your grandfather's garden, you will have (x - 7) rose bushes remaining in your garden. And after planting eleven new holly bushes, the number of holly bushes in your garden will become (y + 11).

It is also given that (x - 7) is half as many as (y + 11). So, we can write the equation:

(x - 7) = (y + 11) ÷ 2

Simplifying the equation, we get:

x - 7 = (y + 11) ÷ 2

x - 7 = (y + 11) / 2

x = (y + 11) / 2 + 7

Substituting x = 3y from the first equation, we can solve for y:

3y = (y + 11) / 2 + 7

6y = y + 11 + 14

5y = 25

y = 5

Substituting the value of y back into x = 3y, we can find x:

x = 3 * 5

x = 15