$color(blue)("Preamble")$
$color(brown)(ul("For multiply or divide:"))$
To move a value to the other side of the equals change it into 1. As multiply by 1 does not change the other value.
$color(brown)(ul("For add or subtract:"))$
To move a value to the other side of the equals change it to 0. As adding 0 does not change the other value.
$color(brown)("The shortcut methods use the above but skip steps")$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$color(blue)("Answering the question")$
Let the unknown count in atm's be $x$
Known: 1 atm $-=760 $mmHg
Using ratio:
$("atm")/("mmHg") ->1/760-=x/882$ where $-=$ means 'equivalent to
To get $x$ on its own multiply both sides by 882.
$color(green)(1/760color(red)(xx882)" "=" "x/882color(red)(xx882))$
$color(green)((1color(red)(xx882))/760" "=" "x xx(color(red)(882))/882 )$
$1.160526...." "=" "x$
$x=1.16$ atm's to 2 decimal places $->$ approximate answer
$x=882/760 -> 1 61/32 $ atm's $->$ exact answer
