Question 772398: (1)The average of four numbers is exactly 32. The largest of the four numbers exceeds twice the smaller number by 10 and is 5 more than one of the other numbers. THe remaining number is one half as great as the largest of the 4 numbers. What is the largest of the 4 numbers?
Answer: 46(show me the steps at arriving answer)
(2)Vanessa's mathematics teacher compute each students test average by weighting the final exam three times as much as a class test. If vanessa received grades of 87,86,88,85, and 89 on her five class test, What grade must vanessa receive on the final exam so that her test average is 90?
Answer:95(show me the steps at arriving answer)
(3)On the first six test in her social studies course, Jerelyn's scores were 92,78,86,92,95 and 91. If Jerelyn took a seventh test and raised the mean of her scores exactly 1 point, what was her score on the seventh test?
Answer:96(show me the steps at arriving answer)
Answer by oscargut(2103)   (Show Source):
You can put this solution on YOUR website! I do the first the first one here
(1)The average of four numbers is exactly 32. The largest of the four numbers exceeds twice the smaller number by 10 and is 5 more than one of the other numbers. THe remaining number is one half as great as the largest of the 4 numbers. What is the largest of the 4 numbers?
If x = greatest number
smaller = (x-10)/2
other number x-5
other number x/2
Average is 32 so the sum is 4(32) = 128
Then x+(x-10)/2+x-5+x/2 = 128
(2x-5)+(2x-10)/2 = 128
2x-5+x-5=128
3x-10 = 128
3x = 138
x = 46
I can help you with more questions at: mthman@gmail.com
Thanks
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