Out of 400 plants, there are 10 percent pink rose plants, 30 percent red rose plants, 40 percent white rose plants, and the rest plants are jasmine. How many jasmine plants?

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320

400

160

answer is B.

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Detailed Solution

Concept: This is a straightforward issue with one variable linear equations. We'll start by supposing that a variable is the quantity of jasmine plants (x). Then, using the idea of percentages, we will determine how many different kinds of rose plants there are. Finally, given the knowledge that the total number of plant species is 400, we will construct a linear equation in x that will yield the solution.
In order to answer this question, we first determine how many jasmine plants there are. We'll start off by presuming there are x jasmine plants. Additionally, it has been stated that there are 400 plants in all.
We will let the pink rose plants, which make up 10% of the total plants, to be p, which may be calculated as:

Similar to the above, we have been told that r red rose plants, or 30% of all plants, which may be calculated as

We can now develop an equation to show that the sum of all plant types equals the total number of plants, which is 400, since we know the number of the remaining plant types.
Equations

, and

These are the necessary number of jasmine plants.
Hence, the answer is option 2.

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