 [ Symptoms ] which nuts are most likely heart healthy [ Disease ] the fda allow[s] a qualified health claim that evidence suggests – but does not prove   that eating 1 5 ounces 43 grams of nuts per day as part of a diet low in saturated fat and cholesterol reduces coronary heart disease risk the government allows the claim on dietary labeling for specific nuts including almonds hazelnuts pecans pistachios walnuts peanuts and some pine nuts