a student scores 74 out of 100 on a test. if the maximum on the next test is also 100, what does the student to maintain an average of 78

Answer 1

x = score of second test

average = ( 74 + x ) / 2

78 = ( 74 + x ) / 2 Multiply both sides by 2

156 = 74 + x Subtract 74 to both sides

156 - 74 = 74 + x - 74

82 = x

x = 82

average = ( 74 + x ) / 2 = ( 74 + 82 ) / 2 = 156 / 2 = 78