Inverse Variation: if 70 burgers sold at $1.50, then ...?

"Suppose that in a certain restaurant the number of hamburgers sold varies inversely as the price. If 70 burgers are sold at $1.50 each, how many burgers would be sold at $1.25 each?"

Is it about 58 burgers?

If it's not, can you explain the problem?

Re: Inverse Variation?

Inversely means, the lower the price the more they sell. So, if the price was lower than 1.50, wouldn't they sell more than 70?.

\(\displaystyle S=\frac{k}{p}\)

\(\displaystyle 70=\frac{k}{1.5}\)

\(\displaystyle k=1-5\)

Therefore,

\(\displaystyle S=\frac{105}{1.25}=84\)

See?.