Answer:
![(1)/(3)x+16=37](https://img.qammunity.org/2022/formulas/mathematics/college/lg9zx53i5gasvlfnu5j5hhjdc7yx8gq34k.png)
63 Jelly Beans
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
![(1)/(3)x](https://img.qammunity.org/2022/formulas/mathematics/high-school/dz9o2llpqddzwa9hlty0ayhz6sld8wcg.png)
He then ate 16 more jelly beans
![(1)/(3)x+16](https://img.qammunity.org/2022/formulas/mathematics/college/48szuajax9yb7z96qzm8ummdzglqzypbd4.png)
This was equal to 37 jelly beans
![(1)/(3)x+16=37](https://img.qammunity.org/2022/formulas/mathematics/college/lg9zx53i5gasvlfnu5j5hhjdc7yx8gq34k.png)
This is the equation
Now solve for x
Subtract 16 from both sides
![(1)/(3)x=21](https://img.qammunity.org/2022/formulas/mathematics/college/h4a9rqeigxd3jsfa7c39bh04a0n25hwtmw.png)
Multiply both sides by 3
![x=63](https://img.qammunity.org/2022/formulas/mathematics/college/85ix3xcrl99cqquvpp7w9p1iw20urfa3et.png)
63 Jelly Beans