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Preheat the oven to 350°F (180°F) and line a 12-cup muffin tin with paper liners. Set aside.
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In a medium bowl, combine the flour, sugar, salt, baking powder and baking soda.
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Add in the butter and mix in until the mixture looks crumbly.
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In a jug, combine the eggs, egg yolk, buttermilk, oil and vanilla extract, then whisk into the flour mixture until smooth.
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Divide the batter between the prepared muffin cups and bake for 20-25 minutes, until firm and a toothpick inserted comes out clean.
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Let cool in the pan for five minutes, then transfer the cupcakes to a wire rack to cool completely, about 30 more minutes..