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?

Respuesta :

Answer: 600

Step-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 trees

Let 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.

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