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Joe's Trail Mix: Adding and Subtracting to Achieve a New Ratio

GMAT-OXZORN

Joe made a bowl of trail mix with individual pieces of chocolate chips, raisins, and peanuts in a $3:7:8$ ratio respectively. Joe adds some chocolate chips but removes some raisins and peanuts, and the new ratio becomes $3:4:5$.

What is the minimum number of chocolate chips that Joe could have added?

A

$3$

B

$4$

C

$6$

D

$8$

E

$9$