Grade 10 Math · Adding the tax
The register's one move
score 0

The register's one move

The till has exactly one trick and it plays it on every purchase: T=P(1+r)T = P\,(1 + r) (read aloud: T equals P times one-plus-r). PP is the price before tax, rr is the tax rate as a decimal, and TT is the total the register asks for — that last one is what you are solving for. The 1 in the bracket is your price, kept whole; the rr is the government's slice, stacked on top. In Ontario the sales tax is 13%, so r=0.13r = 0.13 and every dollar of price becomes 1.131.13 at the register — which is why a $100 pair of shoes quietly asks for $113.

The one non-negotiable step: the percent must become a decimal BEFORE it enters the bracket. 13 stays a percent on the sign; 0.130.13 is what does the math. Skip the ÷100 and the formula cheerfully charges you thirteen extra copies of the price — the arithmetic never argues, it just obeys.