Question

There are 5 times as many carnations as roses bushes in the garden. If there are 15 carnations, how many rosese busehes are in the garden?​

Answer 1

To find the number of rose bushes in the garden, we need to determine the ratio of carnations to rose bushes.

The given information states that there are 5 times as many carnations as rose bushes. So, if there are 15 carnations, we can set up the following equation:

15 carnations = 5 times the number of rose bushes

To solve for the number of rose bushes, we divide both sides of the equation by 5:

15 carnations ÷ 5 = 5 times the number of rose bushes ÷ 5

This simplifies to:

3 carnations = the number of rose bushes

Therefore, there are 3 rose bushes in the garden.

Another way to solve this is by using proportions. We can set up a proportion to relate the number of carnations to the number of rose bushes:

15 carnations / x rose bushes = 5 carnations / 1 rose bush

Cross-multiplying gives us:

15 carnations * 1 rose bush = 5 carnations * x rose bushes

Simplifying further:

15 = 5x

Dividing both sides of the equation by 5:

3 = x

Therefore, there are 3 rose bushes in the garden.

Both methods lead to the same answer: there are 3 rose bushes in the garden.

Explanation:

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Answer 2

3 rose bushes

Explanation:

We can solve this problem by using a proportion. We know that the ratio of carnations to rose bushes is 5:1.

We also know that there are 15 carnations.

We can set up the following proportion to find the number of rose bushes:

`\sf (5)/(1) =(15)/(x)`

Cross-multiplying, we get

5x = 15

Dividing both sides by 5, we get:

`\sf (5x)/(5) =(15)/(5)`

`\sf x = 3`

Therefore, there are 3 rose bushes in the garden.