SOLUTION: following the guidelines of the Food and Drug Administration, Dale tries to eat at least 5 servings of fruit each day. For the first six days of one week, she had 5,5,3,5,4, and 5

Question 178269: following the guidelines of the Food and Drug Administration, Dale tries to eat at least 5 servings of fruit each day. For the first six days of one week, she had 5,5,3,5,4, and 5 servings. How many servings of fruit should Dale eat on Saturday to average at least 5 servings per day for the week?
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
Well, first a good question to ask might be what is the average so far? That would be

So, so far he has averaged 4.5 servings of fruit a day. So we need to up it to 5. Let's call the number of servings of fruit he needs to eat on the last day x. Then we want

Note that since we want the average to be at least 5, solving the equation equal to 5 will tell us the minimum number of servings he needs to eat. So the first step would be to multiply both sides by 7.

Now, we combine like terms on the left hand side:

Last, subtract 27 from both sides

So he needs to eat at least 8 servings of fruit on the last day to average 5 for the week.
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