Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent 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?
Accepted Solution
A:
Answer: 600Step-by-step explanation:Given : Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into treesLet x be the number of apply seeds and y be the number of orange seeds , the we have the following equations:-[tex]x=4y[/tex] (1)[tex]0.15x+0.10y=420[/tex] (2)Put x= 4y in (2), we get[tex]0.15(4y)+0.10y=420[/tex] [tex]0.60y+0.10y=420[/tex] [tex]0.70y=420[/tex] Divide both sides by 0.70.[tex]y=600[/tex] Hence, Sue planted 600 orange seeds.