1 The average of 7 distinct integer is 12 and the least of t

1) The average of 7 distinct integer is 12, and the least of these integers is -15. What is the greatest that any of the integers could be?

2) The cereal Fruit Loops is 55% fiber.Cheerios is 70% fiber. Sidney combines an amount of the two cereals is a single bowl of mixed cereal that is 65% fiber. If tge bowl contains 12 ounces of cereal, how much of the cereal, in ounces, is Fruit Loops?

3) A quiz is scored from 0 to 110. Antonio has 5 quiz scores: 90,95,88,84,92. What does the average on her next 2 quizzes need to be in order to bring her average for all 7 quizzes up to 95?

Solution

1) The average of 7 distinct integer is 12, and the least of these integers is -15. What is the greatest that any of the integers could be?

As mean = 12, and n = 7, then

Sum = mean * n = 12*7 = 84

Thus, the sum of the 7 numbers is 84.

Now, the least of them is -15. To make the last number as large as possible, we make the middle 5 numbers as small as possible. So, they become -14,-13,-12,-11,-10.

Thus,

-15 + -14 + -13 + -12 + -11 + -10 + x = 84

-75 + x = 84

Thus,

x = 159 [ANSWER]

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