Given:
Serenity picked 75% of the apples of a tree in her backyard.
She picked 30 apples.
To find:
The number of apples on the tree in the beginning.
Solution:
Let x be the number of apples on the tree in the beginning.
Serenity picked 75% of the apples of a tree in her backyard.
Number of apples picked = 75% of x
= [tex]\dfrac{75}{100}x[/tex]
= [tex]\dfrac{3}{4}x[/tex]
She picked 30 apples.
[tex]\dfrac{3}{4}x=30[/tex]
Multiply both sides by 4.
[tex]3x=4\times 30[/tex]
[tex]3x=120[/tex]
Divide both sides by 3.
[tex]x=\dfrac{120}{3}[/tex]
[tex]x=40[/tex]
Therefore, the number of apples on the tree in the beginning is 40.
