Based on this year's costs, an orchard grower budgets P dollars for planing N new trees next year.
Based on this year's costs, an orchard grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 30% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
Answer/Solution
23% less than N
Steps/Work
Correct answer is (A).
This year, the price of a tree is price1=P/N.
If this price increases by 30% it becomes price2=P/N*1.30
Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.30) i.e. N/1.30 i.e. 77%
This year, the price of a tree is price1=P/N.
If this price increases by 30% it becomes price2=P/N*1.30
Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.30) i.e. N/1.30 i.e. 77%