Question

A nursery has $35,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 25% and the profit on a red maple tree is 17%. The profit for the entire stock is 18%. How much (in dollars) was invested in each type of tree? Answers 1. minhkhoi The amount invested in dogwood trees is$4,375; while the amount invested in maple trees is $30,625. How do we solve mathematical proportions? This question can be solved based on mathematical proportion as follows: Let; x = Proportion of dogwood trees y = 1 – x = Proportion of red maple trees Therefore, we solve as follows: 25x + 17y = 18 25x + 17(1 – x) = 18 25x + 17 – 17x = 18 25x – 17x = 18 – 17 8x = 1 x = 1 / 8 = 0.125 Solving for y, we substitute for x as follows: y = 1 – 0.125 = 0.875 Therefore, we have: Amount invested in dogwood trees = x *$35,000 = 0.125 * $35,000 =$4,375
Amount invested in maple trees = y * $35,000 = 0.875 *$35,000 = \$30,625