In a science course you must average 89 percent for an A. Your first 3 test where 75 91 and 95.
After your first three test you find out that you must average 90 or better on your remaining test for an A. How many test do you have left.
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the answer is 6.
first let's sum your first three scores 75 + 91 + 95 =261
you know that you must average a 90 or better on the remaining tests. so let's say sum (X) / x = 90 where sum(x) is the sum of the remaining tests scores and x is the remaining number of tests.
you also know that you need a min of an 89 average or:
(261 + sum (X))/ (3+x) = 89
261 + sum (X) = 89(3+x)
261 + sum (X) = 267 + 89x
sum(x) = 6 + 89x
sum(x)/x = 6/x + 89
90 = 6/x + 89
1 = 6/x
x=6
Your equation would set up as follows.
(75+91+95) + (90X) / X +3 = 89
90X represents the minimum score times the number of tests left. Dividing by X (the number of tests left) + 3 (representing current number of tests taken) = 89 (desired average for an A)
Multiply both sides by X +3
261 + 90X = 89X + 267
Now separate your X
Subtract 261 from both sides
90X = 89X + 6
Subtract 89X from both sides
X = 6
You have 6 tests left to make an 89 average.
I hated those when I took algebra 2..
Lets say the next test's score = x,
90 = (75+91+95+x)/4
Solve for x...
And you get x=99
x is the 1st even type x + 2 is the 2nd even type and x + 4 would be the 0.33 even type all of those numbers upload as much as sixty six so x + (x + 2) + (x + 4) = sixty six 3x + 6 = sixty six 3x = sixty six - 6 3x = 60 x = 60/3 x = 20 So the three numbers are 20, 22, and 24 M = 4S M = 2S + 20 4S = 2S + 20 2S = 20 S = 10 Son = 10 years consequently guy = 40