The U.S. Department of Agriculture recommends eating 2-4 servings of fruit per day in a heathy diet. The table shows types of fruit and calories per serving
Scott plans to eat 4 servings of fruit today. He has already eaten 1 cup of blueberries and 1 apple, Which additional fruit choices can he eat to end up with a mean of 50 calories of fruit per serving today?
Scott can eat 1 plum and 1 tangerine to achieve a mean of 50 calories per serving.
To determine the additional fruit choices Scott can eat, we first calculate the total calories from the fruits he has already consumed. With 1 cup of blueberries (approximately 85 calories) and 1 apple (approximately 95 calories), the total is 180 calories. To average 50 calories over 4 servings, he needs a total of 200 calories, meaning he can consume an additional 20 calories from the next two servings.
This choice provides 20 calories total (approximately 30 calories for the plum and 50 calories for the tangerine), resulting in a total of 200 calories when combined with the 180 calories already consumed. This achieves the desired mean of 50 calories per serving.
This choice yields approximately 210 calories in total (about 105 calories for the banana and 60 calories for the mandarin orange). This would result in an average of 52.5 calories per serving, exceeding the target of 50 calories.
This combination provides approximately 190 calories (85 calories for the blueberries and 105 calories for the banana). Adding this to the 180 calories already consumed results in an average of 47.5 calories per serving, which is below the target of 50 calories.
This choice results in approximately 125 calories total (95 calories for the apple and 30 calories for the plum), bringing the total calories to 305. This would result in an average of 76.25 calories per serving, far exceeding the target.
To meet the USDA's recommendation for fruit servings while achieving the target average of 50 calories, Scott can successfully add 1 plum and 1 tangerine to his diet. This option allows him to reach precisely 200 calories across his 4 servings, perfectly aligning with his dietary goals while the other choices either exceed or fall short of the intended average.
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