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\n" ); document.write( "There are many different ways to solve a problem like this. The other tutor showed one good way using an algebraic formula for the number of kg eaten in terms of the number of sheep, the number of days, and the rate of eating.
\n" ); document.write( "Here is another method that many students like to use.
\n" ); document.write( "Start with the given information on number of sheep, number of days, and number of kg of grass, then change two of the three numbers at a time in a logical way to end up with 9 sheep and 90kg of grass.
\n" ); document.write( "Here is how the solution might go (there are many other different possible paths!):
\n" ); document.write( "Start: 5 sheep; 15 days; 150kg of grass
\n" ); document.write( "(1) Multiply the number of sheep by 9/5 to get the required 9 sheep; keep the number of days the same. 9/5 as many sheep and the same number of days means 9/5 as many kg of grass:
\n" ); document.write( "9 sheep; 15 days; 270kg of grass
\n" ); document.write( "(2) Divide the number of kg of grass by 3 to get the required 90kg; of course keep the required 9 sheep. One-third as many kg of grass and the same number of sheep means one-third as many days:
\n" ); document.write( "9 sheep, 5 days, 90kg of grass
\n" ); document.write( "ANSWER: 5 days for 9 sheep to eat 90kg of grass \n" ); document.write( "