#color(green)("Taking it 1 step at a time so you can see what is going on." )#

#color(brown)("As you become more efficient at working out this question type you" )##color(brown)("will start to use shortcuts methods and skip steps.")#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#color(blue)("Solving for amount of savings")#

Note that #8.5%" is the same as "8.5/100#

8.5% of savings #-> 8.5%xx "savings"#

so 8.5% of savings is $5.35 becomes:

#" "color(brown)(8.5/100xx"savings"=$5.35)#

Multiply both sides by 100

#" "color(brown)(100/100xx8.5xx"savings"=100xx$5.35)#

But #100/100=1#

#" "color(brown)( 8.5xx" savings"=$535.00)#

Divide both sides by 8.5

#" "color(brown)(8.5/8.5xx"savings"=($535.00)/8.5)#

#" "color(brown)(" savings" = $62.94117...#

#" "color(blue)("savings"=$62.94" to 2 decimal places")#