Sue planted 4 times as many apple seeds as she planted orange seeds. 15% of the apple seeds grew into trees, and 10% of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
Created: 2 years ago |
Updated: 3 months ago
best des
Let's use algebra to solve this problem.
Let A be the number of apple seeds and O be the number of orange seeds that Sue planted.
According to the given information:
- A = 4O (Sue planted 4 times as many apple seeds as orange seeds).
- 15% of the apple seeds grew into trees, so 0.15A apple trees grew.
- 10% of the orange seeds grew into trees, so 0.10O orange trees grew.
- The total number of trees is 420: A + O = 420.
Now, we can set up a system of equations based on the above information:
From equation 1, we have: A = 4O
From equations 2 and 3, we know the total number of trees: 0.15A + 0.10O = 420
Now, substitute the value of A from equation 1 into equation 2: 0.15(4O) + 0.10O = 420
Simplify the equation: 0.60O + 0.10O = 420
Combine like terms: 0.70O = 420
Now, solve for O (the number of orange seeds): O = 420 / 0.70 O = 600
So, Sue planted 600 orange seeds.
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