?

GMAT®

Free Version

Upgrade subject to access all content

Difficult

Jelly Beans

GMAT-V0WEKP

Jacob has a jar of jelly beans contains lemon, orange, and grape-flavored beans. The number of beans of each flavor, respectively, are distributed in a ratio of $3:4:8$.

One day, Jacob is hungry and decides to eat $2$ orange beans and $13$ grape beans.

If the new flavor ratio is $5:6:9$, how many jelly beans were in the jar originally?

A

$45$

B

$54$

C

$63$

D

$72$

E

$75$