MathDB

5

Part of 2015 AMC 10

Problems(2)

Payton's Test Increases the Average

Source: 2015 AMC 12A #3 / 10A #5

2/4/2015
Mr. Patrick teaches math to 1515 students. He was grading tests and found that when he graded everyone's test except Payton's, the average grade for the class was 8080. After he graded Payton's test, the class average became 8181. What was Payton's score on the test?
<spanclass=′latex−bold′>(A)</span>81<spanclass=′latex−bold′>(B)</span>85<spanclass=′latex−bold′>(C)</span>91<spanclass=′latex−bold′>(D)</span>94<spanclass=′latex−bold′>(E)</span>95<span class='latex-bold'>(A) </span>81\qquad<span class='latex-bold'>(B) </span>85\qquad<span class='latex-bold'>(C) </span>91\qquad<span class='latex-bold'>(D) </span>94\qquad<span class='latex-bold'>(E) </span>95
AMC
12 Person Race

Source: 2015 amc 10b #5

2/26/2015
David, Hikmet, Jack, Marta, Rand, and Todd were in a 1212-person race with 66 other people. Rand finished 66 places ahead of Hikmet. Marta finished 11 place behind Jack. David finished 22 places behind Hikmet. Jack finished 22 places behind Todd. Todd finished 11 place behind Rand. Marta finished in 66th place. Who finished in 88th place? <spanclass=′latex−bold′>(A)</span>David<spanclass=′latex−bold′>(B)</span>Hikmet<spanclass=′latex−bold′>(C)</span>Jack<spanclass=′latex−bold′>(D)</span>Rand<spanclass=′latex−bold′>(E)</span>Todd<span class='latex-bold'>(A) </span> \text{David} \qquad<span class='latex-bold'>(B) </span> \text{Hikmet} \qquad<span class='latex-bold'>(C) </span> \text{Jack} \qquad<span class='latex-bold'>(D) </span> \text{Rand} \qquad<span class='latex-bold'>(E) </span> \text{Todd}
AMC