Answer:
[tex]\frac{1}{3}x+16=37[/tex]
63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them
[tex]\frac{1}{3}x[/tex]
He then ate 16 more jelly beans
[tex]\frac{1}{3}x+16[/tex]
This was equal to 37 jelly beans
[tex]\frac{1}{3}x+16=37[/tex]
This is the equation
Now solve for x
Subtract 16 from both sides
[tex]\frac{1}{3}x=21[/tex]
Multiply both sides by 3
[tex]x=63[/tex]
63 Jelly Beans
