Final answer:
To determine the number of maple trees in an area with 60 pine trees given a ratio of 7 maples to 5 pines, we set up a proportion and solve for the number of maples. After cross-multiplying and dividing, we find that there should be approximately 84 maple trees in that area.
Step-by-step explanation:
The student has asked about calculating the number of maple trees based on a given ratio of maples to pines and a known number of pine trees. To find the solution, we assume the following:
- The ratio of maple to pine trees is 7:5.
- There are 60 pine trees in the area counted.
To calculate the expected number of maple trees, we use the concept of ratios and proportional reasoning. Since for every 7 maples, there are 5 pines, we can set up a proportion to find the number of maple trees:
If Maple:Pine = 7:5, then Expected Maple Trees / 60 = 7 / 5
To solve for the number of expected maple trees, we cross-multiply and divide:
(Expected Maple Trees) * 5 = 60 * 7
Expected Maple Trees = (60 * 7) / 5
Expected Maple Trees = 420 / 5
Expected Maple Trees = 84
Thus, there should be about 84 maple trees in the area where 60 pine trees were counted.