i You paid 1253 for a shirt that was 55 off What was the ori

(i) You paid $12.53 for a shirt that was 55% off. What was the original price of the shirt?
Express your answer rounded correctly to the nearest cent. $___________

(ii) If gas prices are now $4.59 and they were up 18% from 6 months ago, how much were gas prices 6 months ago?
Express your answer rounded correctly to the nearest cent. $__________

Solution

i) 12.53$ was paid when 55% was off;
which means :

\'x\' is the original price so (100-55)% off of \'x\' was 12.53$
x(0.45) = 12.53 ; x = 12.53/ 0.45 = 27.844 ~= 27.84 $
Thus, the original price of the shirt was 27.84$

ii) 4.59$ is 18% up from 6 months ago. so :
\'x\' * 1.18 = 4.59$
x = 4.59/ 1.18 = 3.889 ~= 3.89$