Alice has grades of 98, 93, 82, and 89. If all of the grades count the same, what is the lowest grade she can make on the next test to have average of 92?
0.92 * 500 = 460
98 + 93 + 82 + 89 + x = 460
362 + x = 460
x = 460 - 362
x = ?
To find the lowest grade Alice can make on the next test, we can use the formula for average:
Average = (Sum of all grades) / (Number of grades)
In this case, Alice's average is given as 92, and she has already taken 4 tests with grades of 98, 93, 82, and 89. To find the sum of all her grades, we add these four grades together:
Sum of grades = 98 + 93 + 82 + 89
Now we can use the formula to find the sum of all grades:
92 = (Sum of grades + x) / 5
where x represents the lowest grade Alice can make on the next test.
To solve for x, we can multiply both sides of the equation by 5:
92 * 5 = Sum of grades + x
which simplifies to:
460 = Sum of grades + x
Substituting the sum of grades with its value, we have:
460 = (98 + 93 + 82 + 89) + x
Now we can solve for x:
460 = 362 + x
Subtracting 362 from both sides:
460 - 362 = x
98 = x
Therefore, the lowest grade Alice can make on the next test to have an average of 92 is 98.