Maths Olympiad Prep

Track / Stage 4 / 315 of 340 #575 of 1964

Problem 575

AMC 12 late, AIME early
Algebra Difficulty 5.0 Multiple choice

The average of four test marks was 60 . The first three marks were 30,55 and 65 . What was the fourth mark?

Pick one

Official solution

The average of four test marks was 60 . The first three marks were 30,55 and 65 . What was the fourth mark?
(A) 40
(B) 55
(C) 60
(D) 70
(E) 90

## Solution

The total number of marks scored on the four tests was 4×604 \times 60 or 240 . The total number of marks scored on the first three tests was 150. The fourth mark was 240150=90240-150=90. ANSWER: (E)

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