Question

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?

Answer 1

Answer: 600

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 trees

Let x be the number of apply seeds and y be the number of orange seeds , the we have the following equations:-

`x=4y` (1)

`0.15x+0.10y=420` (2)

Put x= 4y in (2), we get

`0.15(4y)+0.10y=420`

`0.60y+0.10y=420`

`0.70y=420`

Divide both sides by 0.70.

`y=600`

Hence, Sue planted 600 orange seeds.