Looking it up the American measure of 1 tone is worth #2000^("lb")#
In England it is #2240^("lb")#
Using the American measure:
#color(blue)("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~")#
#color(blue)("~~~~~~~~~~~~~~~ Method 1 ~~~~~~~~~~~~~~~~~~~~~")#
#color(blue)("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~")#
Writing this as an equation we have:
#1" ton "=2000^("lb")#
But we need #3/4# of a ton.
With an equation, what you do to one side of the = you do to the other to maintain the proportions.
..................................................................................
Example:
#3=3 " "color(red)(larr" True")#
#3+4=3" "color(red)(larr" False")#
Do the same to both sides
#3+4=3+4" "color(red)(larr" True")#
...........................................................................
#color(brown)("Back to Method 1")#
Multiply both sides by #3/4#
#1" ton "=2000^("lb")" "->" "3/4xx1" ton "=3/4xx2000^("lb")#
#" "color(blue)(bar(ul(|" "3/4" ton "=1500^("lb")" "|)))#
#color(blue)("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~")#
#color(blue)("~~~~~~~~~~~~~~~ Method 2 ~~~~~~~~~~~~~~~~~~~~~")#
#color(blue)("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~")#
Using ratio:
#("weight in lb")/("weight in tons") ->(2000)/1#
But we need to change the 1 ton into #3/4# ton. For multiply or divide, what we do to the bottom of a ratio we also do to the top.
#("weight in lb")/("weight in tons") ->(2000)/1 -= (2000xx3/4)/(1xx3/4) = 1500/(3/4)#
#color(blue)("Observe that method 2 is really the same thing as method 1. It is presented differently.")#
