Question

Maizah bought a pair of pants and a briefcase at a departmental store. The sum of the prices of the pants and the briefcase before sales tax was 130.00$.Therewasnosalestaxonthepantsanda$9%$salestaxonthebriefcase.ThetotalMaizahpaid,includingthesalestax,was$ $136.75$. What was the price in dollars, of the pants?

Answer 1

$\Rightarrow$ Prices of the pants and briefcase before sales tax $=\$130.00$

$\Rightarrow$ Prices of the pants and briefcase after sales tax $=\$136.75$

$\therefore$ Sales tax on pants and the briefcase $=\$136.75-\$130.00=\$6.75$

$\Rightarrow$ Let $x$ be the price of briefcase.

$\therefore$ $9\%ofx=6.75$

$\therefore$ $\frac{9}{100}\times x=6.75$

$\therefore$ $x=\frac{6.75\times 100}{90}$

$\therefore$ $x=\$75$

$\therefore$ Price of briefcase is $\$75$

$\Rightarrow$ Price of pants $=\$130-\$75=\$55$