#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.")#
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#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")#