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Two kinds of pine trees, Bristlecone and Aleppo, are planted in rows. In each row the ratio of Bristlecone to Aleppo is $$4:9.Altogether, $$360 Bristlecone pine trees are planted.How many Aleppo pines are planted?

Question

Two kinds of pine trees, Bristlecone and Aleppo, are planted in rows. In each row the ratio of Bristlecone to Aleppo is 4:9.Altogether, 360 Bristlecone pine trees are planted.How many Aleppo pines are planted?

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Solution

To solve this problem, we need to understand that the ratio given is representative of the actual number of trees.

Step 1: Understand the ratio The ratio of Bristlecone to Aleppo pine trees is 4:9. This means for every 4 Bristlecone pine trees, there are 9 Aleppo pine trees.

Step 2: Find the total ratio The total ratio is 4 (for Bristlecone) + 9 (for Aleppo) = 13

Step 3: Find the value of each ratio part We know that there are 360 Bristlecone pine trees which corresponds to the '4' in our ratio. So, each ratio part is worth 360 / 4 = 90 trees.

Step 4: Find the number of Aleppo pine trees We multiply the value of each ratio part by the number of parts for Aleppo pine trees. So, 90 * 9 = 810

Therefore, there are 810 Aleppo pine trees planted.

This problem has been solved

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