Get a better look:
What's awesome is that the smaller pieces from the set were actually packed in the box! The china set was widely distributed, both by Topps and in the real world. It looked a lot better than the drab colors above show:
You can still readily buy the pattern today on replacement china sites and eBay. Salem was located in Ohio and stopped manufacturing china in 1960 after a sixty two year run but distributes wares from other manufacturers to this day and was known for large, inexpensive production runs.
The 240 count jumble pack would likely have held two 120 count penny boxes.
Here's a certificate. While this box is described as being from 1953 in the eBay listing, I believe it dates back to 1951 or so. As the certificate below expired in 1956, it's obvious Topps had a literal boatload of this china to unload:
Given the address, I surmise the china was all stored at the Topps warehouse in Bush Terminal, Brooklyn. Here's the full Monty:
Some more detail from the Bazooka box, don't forget Topps scored their Bazooka rolls to make it look like you got 6 pieces for a nickel::
The penny packs also were scored, two for one, split down the middle!
Topps introduced the penny sized Bazooka in 1949, which is why I think this box is earlier than 1953. It also features the original Bazooka Joe mascot, also from a bit earlier I think:
For some reason, I am now hungry!