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For the cocktail dressing, put the mayonnaise, ketchup, cream, lemon juice and a tiny splash of water into a bowl and mix together well until smooth. Season to taste with salt.
Finely shred the lettuce leaves, mix with the grated carrot and divide between 4 medium-sized plates.
Set aside 12 of the prawns and cut the remainder into thick slices. Stir them into the cocktail dressing with the crabmeat and diced tomato, and spoon into the centre of the salad leaves.
Arrange the whole prawns n top of the salad. To serve, drizzle each salad with balsamic vinegar, sprinkle with a tiny pinch of paprika and top with a green olive.