SOLUTION: When Professor Sum was asked by Mr. Little how many students were in his classes, he answered, �All of them study either languages, physics, or not at all. One-half of them study l

Question 170208This question is from textbook A Problem Solving Approach to Mathematics for Elementary School Teachers
: When Professor Sum was asked by Mr. Little how many students were in his classes, he answered, �All of them study either languages, physics, or not at all. One-half of them study languages only, one-fourth of them study French, one-seventh of them study physics only, and 20 do not study at all.� How many students does Professor Sum have This question is from textbook A Problem Solving Approach to Mathematics for Elementary School Teachers

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All of them study either languages, physics, or not at all. One-half of them study languages only, one-fourth of them study French, one-seventh of them study physics only, and 20 do not study at all.� How many students does Professor Sum have
:
Let x = no. of students he has
:
"One-half of them study languages only,
.x
" one-fourth of them study French,"
x
:
" one-seventh of them study physics only,"
x
and 20 do not study at all.� How many students does Professor Sum have
:
The French students are included with the languages, so we have:
x = x + x + 20
Multiply equation by 14
14x = 7x + 2x + 280
:
14x - 9x = 280
x =
x = 56 students
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