Cindy got 88, 87 and 89 in Algebra in the 1st, 2nd and 3rd quarters, respectively. What possible grade must she get in the 4th quarter to get an average grade of no less than 90?
Let’s denote Cindy’s grade in the 4th quarter as x.
To get an average grade of no less than 90, the sum of her grades for all four quarters must be no less than 4 times 90 = 360.
So, we can set up the following equation:
(88 + 87 + 89 + x) / 4 ≥ 90
Multiplying both sides by 4 gives:
88 + 87 + 89 + x ≥ 360
Simplifying the left side gives:
264 + x ≥ 360
Subtracting 264 from both sides gives:
x ≥ 96
Therefore, Cindy must get a grade of no less than 96 in the 4th quarter to get an average grade of no less than 90 for the entire year.
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