document.write( "Question 118789: a loading crew estimates that it can load 8 boxes in 20 mins.at this rate,how many boxes could it load in 1 hr? \n" ); document.write( "
Algebra.Com's Answer #86929 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! You can do this by setting up a proportion. Start with the ratio of 8 boxes to 20 minutes. \n" ); document.write( "Then notice that an hour is 60 minutes. Since you don't know the number of boxes in 60 minutes \n" ); document.write( "you can set up the ratio of X boxes to 60 minutes. Setting these two ratios equal gives you \n" ); document.write( "the proportion: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "An easy way to work proportions is to cross-multiply ... multiply the numerator on one side \n" ); document.write( "by the denominator on the other side. Then multiply the numerator on the other side by the \n" ); document.write( "denominator on the opposite side. Then set the two products equal. \n" ); document.write( ". \n" ); document.write( "Hard to explain, but easy to do. Multiply the 8 (left side numerator) by 60 (right side \n" ); document.write( "denominator) and set this equal to the product you get by multiplying X (right side numerator) \n" ); document.write( "by 20 (left side denominator). In equation form this is: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Multiplying out the left side results in: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Finally, you can solve for X by dividing both sides by 20 and you get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "which simplifies to: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "So in 60 minutes (1 hour) the crew could load 24 boxes. \n" ); document.write( ". \n" ); document.write( "You can also do this problem in your head. Just say that if you can do 8 boxes in 20 minutes \n" ); document.write( "then you can do 16 boxes in 40 minutes and adding another 8 boxes in the remaining 20 \n" ); document.write( "minutes results in 24 boxes in 60 minutes. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand this problem a little better. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |