Question

Shine and Makeover beauty salons charge a fixed amount, plus an hourly rate. They are located on opposite sides of main street. Shine salon charged one customer 153$fora$2$-hourserviceappointment,anditchargedasecondcustomer$ $315$ for a $5$-hour service appointment . Makeover charges $5$ less per hour than Shine. and 10$moreforthefixedamount.HowmuchMakeoverchargefora$3$-hour service appointment?

• A. 157$
• B. 174$
• C. 181$
• D. 202$

Answer 1

The correct option is D 202$Letfixedamount$=x$andhourlyrate$=y$Soaccordingtoquestion.shinesallonchargeonecustomer$x+2y=153$-iChargesecondcustomer$x+5y=315$-iiSofromiandii,weget$\Rightarrow x=45$

$\Rightarrow y=54$
Makeover charges $5$ less per hour and fixed amount $10$ more than shine.
So,$x=55$ $y=49$
Makeover charges for $3$ hour
$=x+3y$
$=55+3\times 49$
$=202$
Option D is the correct answer.