Respuesta :
in short, we simply split the total amount by the given ratio, so we'll split or divide 1020 by (15 + 2) and then distribute accordingly.
[tex]\bf \cfrac{petunias}{geraniums}\qquad 15:2\qquad \cfrac{15}{2}~\hspace{7em}\cfrac{15\cdot \frac{1020}{15+2}}{2\cdot \frac{1020}{15+2}}\implies \cfrac{15\cdot \frac{1020}{17}}{2\cdot \frac{1020}{17}} \\\\\\ \cfrac{15\cdot 60}{2\cdot 60}\implies \cfrac{900}{120}\implies \stackrel{petunias}{900}~~:~~\stackrel{geraniums}{120}[/tex]
There were 120 geraniums in the greenhouse.
Given, the ratio of petunias to geraniums in the greenhouse was 15 to 2.
Therefore, petunias : geraniums = 15 : 2.
Hence, total geraniums in the greenhouse were = combined petunias and geraniums × [tex]\frac{ratio of geraniums}{ratio of geraniums + ratio of petunias}[/tex] = 1020 ×[tex]\frac{2}{15 + 2}[/tex] = 120.
Learn more about ratio problems here: https://brainly.com/question/19214437
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