@Kinzer - if you identify the local mill you are considering (or better, link the specific product) we might be able to give you more info than mere generalities. Likewise on the scratch.
But while we are dealing in generalities, I'll be brief.
Scratch is not nutritionally complete - nor is it intended to be. Its useful for enrichment (NOT dieatary enrichment, but behvioral enrichment) as a reward and aid to training, or to encourage scratching behaviors in areas the chickens might be ignoring. To avoid dietary imbalance, it is recommended that scratch not exceed 10% of the diet, by weight, daily. Less is better.
The thumb rule is that an average chicken in average conditions eats an average of 1/4# (100g) of complete feed daily. Neither our birds or conditions are average - but its a place to start.
1/10th of that is about 10g, .4 oz, or a level Tblspoon.
Since you have 10 birds, the math is easy - not more than 1/4 cup of scratch daily. Yes, 1/4 cup of scratch weight less than 1/4# - its a safety factor. If you want to weigh your scratch with an eye towards maximum, you certainly can. "A cups a pound the world around" is true of liquids like water. Scratch isn't so massive.
Re: "Layer Feed". I'd want to see the specific nutrition of your local mill, but in general, Layer Feed is crafted based on studies done in the 60s, 70s, and early 80s to determine the minimum diet (expense wise) below with losses in bird deaths, reduced production, and reduced egg quality are not offset by savings in feed cost. Those numbers are specific to certain breeds, in certain conditions, and aren't entirely applicable even to them anymore, due to breeding advances in the intervening period, as well as improved knowledge of Ca/P balance requirements and the importance of amino acids, particularly limiting amino acids in early growth and subsequent production.
For the typical backyard owner, with the typical backyard flock, using typical backyard management practices, I'm going to recommend what is oft described as an "All Flock/Flock Raiser" type feed, supplimented with free choice oyster shell in a separate dish as offering the best combination of meeting dietary needs at reasonable cost with minimal fuss. "All Flock/Flock Raiser", btw, is a moderately high protein feed (18-20%), around 3% fat, around 5% fiber, around 1% calcium, and about 0.5% phosphorus, with a good amino acid profile.
Because you have a flock of ten birds all the same age, all hens, I assume the same breed, and no mention of plans to bring on additional birds in the near future, that may not be the best bmethod for you, particularly if you have a good selection at the local mill.
More details on the mill, the breed, the feed, your plans, we can offer better advice for your specific circumstances.