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.
Answers
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Answer:
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Answered by
1
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.
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