1 cup whole wheat flour (see note directly below)
½ cup all-purpose flour (I used 1 ½ cups white whole wheat flour in all)
½ tsp. salt
1 tsp. cinnamon
½ tsp. baking soda
1 cup dark brown sugar
½ cup applesauce
¼ cup vegetable oil (I used safflower oil)
2 large eggs
1 tsp. vanilla
2 cups peeled, cored, and thickly sliced apples (I used a Envy, but your favorite combination is fine)
1 Tbsp. demerara sugar (optional)
Preheat the oven to 350 °F. Grease and flour a 9-inch round cake pan.
In a medium bowl, whisk together the flours, salt, cinnamon, and baking soda. Set aside.
Dump the packed brown sugar into the bowl of a stand mixer and unpack it with a fork. Add the oil, and use the fork to moisten all of the sugar. (If you skip these first steps, the brown sugar will get pressed up against the sides of the bowl instead of mixing with the oil.) Beat the oil and sugar together in a mixer fitted with the paddle attachment. After five minutes, add the eggs and the vanilla, beating after each addition, then continue beating until the mixture is creamy.
Add the dry ingredients into the sugar, egg, and oil mixture and stir by hand until just combined. Fold in the apple slices. It will look like a lot of apple and not enough batter, but it all works out in the end.
Transfer the batter to the prepared pan, sprinkle with demerara sugar if you'd like, and bake for about 40-45 minutes, until a toothpick inserted in the center of the cake comes out clean. Cool in the pan before turning out.
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