Polish plum cake

I need a polish plum cake recipe, made without yeast . Thanks

I make Tyle Ile - weigh your eggs (I use 3 or 4 for a normal sized baking tin), then mix together with the same weight of flour, butter and sugar. Spread over a prepared cake cake tin and press lots of halved plums into the top - skin side down. Sprinkle with caster sugar. Bake at about 200degC for about 30 minutes. Sprinkle with more sugar if needed. Lovely with tea or coffee.

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Here is my recipe:

Placek (Plum Cake)

3 Cups flour
2 sticks butter
1 Cup sugar
5 eggs yolks (save whites for 2nd step)
1 Tsp Baking powder
1 tsp Cocoa
Italian plums (enough to cover a 13x9 inch pan) about 2 lbs halved & pitted

Mix (knead) and divide into 3 equal parts

1st add cocoa (about 1 tsp) to one of the 3 parts you just divided. Leave in refrigerator for 1 to 2 hours. Take one ball and pat into pan add the fruit (Italian plums divided into two is best)Just lay them side by side till whole pan is covered (I used a 13x9 in pan) You may also use sliced apples as the plumes are usually in season in the fall. Next take 2nd ball and crumble on top of the plumes. Beat 5 egg whites, stiff, add 1/2 Cup sugar. Pour over the fruit.

Take 3rd ball (cocoa) and crumble last evenly over the mixture. Bake at 350 for about 25 to 30 minutes.

This was served to me when I was visiting Poland and my cousin gave me her recipe.

Most American kitchens are not fitted with scales -- could you possibly translate your ingredients into volume (cups, tablesoons, pints, etc.)