2019 AMC 8 Problems/Problem 6

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Problem 7 Shauna takes 5 tests, each worth a maximum of a 100 points. Her scores on the first three tests were 76, 94, and 87. In order to average an 81 on all five tests, what is the lowest score she could earn on one of the two tests? A(48) B(52) C(66) D(70) E(74)

SOLUTION So far, she has scored 76+94+87=257 points on her tests. She needs to have 81*5=405 points in total to achieve an average of 81 on her 5 tests. To find the lowest score, one of the remaining scores must be the highest it can be (100). She needs to score 405-275=148. For the minimum score , 148-100=48. So its A(48).~heeeeeeheeeeeee