Question

The ratio of the rose plants to marigold plants in an orchard is 2:3. If 5 more plants of

each type are planted, the ratio of plants would be 5:7. Then find the number of rose

plants and marigold plants in the orchard.
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Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

\huge{\sf{Answer}}Answer

Let the Ratio constant be x.

So, here we can assume Rose as 2x.

And marigold as 3x.

According to Question:-

\dfrac{2x+5}{3x+5}= \dfrac{5}{7}

3x+5

2x+5

=

7

5

Cross Multiplication:-

\sf{7(2x+5)=5(3x+5)}7(2x+5)=5(3x+5)

\sf{14x+35=15x+25}14x+35=15x+25

\sf{14x-15x=-35+25}14x−15x=−35+25

\sf{-x=-10}−x=−10

Minus Cancels:-

\sf{x= 10}x=10

Now, the ratio constants were 2x and 3x.

So,

\sf{2x= 20}2x=20

\sf{3x= 30}3x=30

So, there are 20 Roses and 30 Marigolds in the Orchard.

Things to Remember:-

Always assume Ratio constant as any variable.

Also, this is the single variable method. Refer to first answer for 2 variable method.

Go line by line the question for framing equations.