High School

The ratio of petunias to geraniums in the greenhouse was 15 to 2. The combined number of petunias and geraniums was 1,020. How many geraniums were in the greenhouse?

Answer :

There were 120 geraniums in the greenhouse.By using the ratio of 15:2, petunias to geraniums, we set up an equation to find that the multiplying factor was 60. Applying this factor to the proportion for geraniums (2*60).

In mathematics, ratios can be solved using the x-factor method. In the case of the greenhouse, the ratio of petunias to geraniums was 15:2.

To find how many geraniums were in the greenhouse, we can set up an equation based on this ratio. If x is the multiplying factor, then 15x would be the number of petunias and 2x would be the number of geraniums. We also know that the combined number of petunias and geraniums was 1020.

So, we set up the equation, 15x + 2x = 1020. Simplifying this gives 17x = 1020. Solving for x, we find x = 60.

we can then determine the number of geraniums by multiplying the x-value by the given proportions for geraniums, 2x = 2*60 = 120. So, there were 120 geraniums in the greenhouse.


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