Moderate# Salads, Ratios, and Proportions

GMAT-DUZPLR

Good-tasting salads are made when the ratio of pieces of lettuce to everything else is at most $2:3$.

If you make a good-tasting salad where the ratio of lettuce to carrots is $8:3$, the ratio of carrots to apples is $2:x$, and there are no other ingredients, what is the greatest possible value of $x$?