document.write( "Question 1162294: If y represents a number, which equation is a correct translation of the sentence?
\n" );
document.write( "20 subtracted from 7 times a number is 6. \n" );
document.write( "
Algebra.Com's Answer #786083 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "This is actually a bad example, because it is open to (at least) two different interpretations. \n" ); document.write( "In the statement there are three things: \n" ); document.write( "(1) numbers or expressions \n" ); document.write( "(2) mathematical operations \n" ); document.write( "(3) an equals sign \n" ); document.write( "The task is to break the sentence down into those three kinds of things. \n" ); document.write( "If read or spoken normally, this sentence breaks down into \n" ); document.write( "(20) (subtracted from) (7 times a number) (is) (6) \n" ); document.write( "So if y is the number, 7 times the number is 7y; and 20 SUBTRACTED FROM 7y means you start with the 7y and subtract 20: 7y-20. \n" ); document.write( "The \"is\" is clearly the equals sign, so the mathematical equation is 7y-20 = 6. \n" ); document.write( "However, this sentence is open to another very different, although far less likely, interpretation. \n" ); document.write( "In written form, you could add commas to change the meaning: \n" ); document.write( "\"20, subtracted from 7, times a number, is 6\" \n" ); document.write( "In spoken form, you could accomplish the same thing using pauses in the reading: \n" ); document.write( "\"20 [pause] subtracted from 7 [pause] times a number [pause] is 6\". \n" ); document.write( "In that interpretation, 20 is subtracted from 7; the result is multiplied by the number, and the final result is 6. \n" ); document.write( "Breaking the sentence into the three things as before, this gives us \n" ); document.write( "(20) (subtracted from) (7) (times) (a number) (is) (6): \n" ); document.write( "(7-20)*y = 6 \n" ); document.write( " \n" ); document.write( " |