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If 9 lines of a print, in a column of a book, contain 36 words, how many words will a column of 51 lines contain?
208
192
196
204
204
Calculate the words per line (36/9 = 4), then multiply by the number of lines (4 ├Ч 51 = 204).
9 lines of print contain 36 words, 51 lines of print are given
Words2тАЛ=Lines1тАЛWords1тАЛтАЛ├ЧLines2тАЛ
Calculate the words per line (36/9 = 4), then multiply by the number of lines (4 ├Ч 51 = 204).
Confusing the proportionality; ensure words are on top and lines on bottom in the ratio calculation.
Calculate words per line
Since the number of words is directly proportional to the number of lines, we first determine the density of words per line.
9┬аlines36┬аwordsтАЛ=4┬аwords/line
Calculate total for 51 lines
Multiply the rate of 4 words per line by the requested 51 lines.
4├Ч51=204
D is correct because 51 lines at a rate of 4 words per line equals 204 words.
This unitary method is fundamental to solving problems in Work-Time, Pipes & Cisterns, and Speed-Distance-Time chapters.
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