SOLUTION: a junior college awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer . If awards went to 46 students and only 2 lettered in all sports, how many students lettered

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a junior college awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer . If awards went to 46 students and only 2 lettered in all sports, how many students lettered       Log On


   

Question 185471: a junior college awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer . If awards went to 46 students and only 2 lettered in all sports, how many students lettered in two of the three sports?
Answer by solver91311(24713) About Me  (Show Source):
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The total number of letters awarded was 26 + 15 + 16 = 57.

2 students out of the total 46 each got 3 letters, accounting for 2 times 3 = 6 of the letters awarded, leaving 44 students to account for the remaining 57 - 6 = 51 letters.

The difference is 51 - 44 = 7 which is the number of students who must have earned 2 letters each.



John