Answer: 92
Explanation:
To find out the score Gerald needs on his fifth exam to have an overall average of 88, we can use the formula for calculating the average:
Average = (Sum of all scores) / (Number of scores)
In this case, the average we want to achieve is 88. We have four exam scores already: 83, 85, 93, and 87. Let's denote the score on the fifth exam as x.
To find the average, we need to add up all the scores and divide by the total number of scores:
(83 + 85 + 93 + 87 + x) / 5 = 88
Now we can solve for x:
(348 + x) / 5 = 88
Multiply both sides of the equation by 5 to eliminate the fraction:
348 + x = 440
Subtract 348 from both sides of the equation:
x = 440 - 348
x = 92
Therefore, Gerald will need to score 92 on his fifth exam to have an overall average of 88.