there are three exams in a marking period. A student received grades of 75 and 81 on the first two exams. What grade must the students earn on the last to get an average of no less than 80 for the marking period?

average means add all scores and divide by number of scores earned

last score is x

so the sum is 75+81+x

3 scores so (75+81+x)/3=average

must be no less than (greater than or equal to 80)

(75+81+x)/3≥80

solve

times both sides by 3 to clear fraction

75+81+x≥240

156+x≥240

minus 156 from both sides

x≥84

the studen must earn at least 84 on last exam

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