On Wednesday in the summer it is $5.
I believe admission is usually around $25. Membership is worth it if you want to go multiple times.
Adults are $20, children $15 for a basic ticket. You can get tickets that include the train, 4-D theater, carousel, and Campground Critters show for $29 and $21. Occasionally they have a $5 deal, but you have to keep a lookout for it.
https://shop.jacksonvillezoo.org/WebStore/shop/ViewItems.aspx?Merchant=JAX&CategoryGroupExternalID=OS&CategoryExternalID=GA
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