It would really depend upon which part of the Delaware law that the minor was ticketed for likely it would be for driving without a license.Under Delaware Code Title 21 section 2701 it states in part that:

(a) No person shall drive a motor vehicle on a public street or highway of this State without first having been licensed under this chapter, unless expressly exempt from the licensing requirements.

(b) No person shall drive a motor vehicle on a public street or highway of this State after serving a period of suspension, revocation or license denial, without first having obtained a valid license through proper reinstatement procedures as prescribed by this title.

(e) Whoever violates subsection (a) or (b) of this section shall for the first offense be fined not less than $50 nor more than $200. For each subsequent like offense, the person shall be fined not less than $100 nor more than $500 or imprisoned for a term not to exceed 6 months, or both.

Other parts of the DE code that the minor may also be written up under would appear to be Section 2753 which is titled operation of vehicle by unlicensed minor.Here it states that no person shall cause or knowingly permit any minor operator, unless such minor has first obtained a license, to drive a motor vehicle under this chapter.

Section 2757 of the Delaware code gives the penalty for this offense as:

(a) Whoever violates this chapter shall for the first offense be fined not less than $25 nor more than $115. For each subsequent like offense, such person shall be fined not less than $50 nor more than $230, or imprisoned not less than 10 nor more than 30 days, or both.

The Delaware Division of Motor vehicles notes that even if you are a teenager with a learner’s permit you can get cited for driving without a license if you operate a vehicle against your restrictions. For example Delaware law states that persons who violate the Level One Learner's Permit restrictions are considered as driving without a license which will result in a 2-month suspension for the first offense and a 4-month suspension for subsequent offenses.

If as a minor you are caught driving without a license the person who let you drive their vehicle may also get in trouble depending upon state laws. In many states it is unlawful for any person to cause or knowingly permit any minor under the age of 18 years to drive a motor vehicle upon a highway as an operator, unless the minor has first obtained a license to so drive a motor vehicle.

So the penalty for driving without a license as a minor appears to be at least a fine and could also be a delay in obtaining your license or going through the DE graduated drivers licensing program.