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 $f o r a$ 2 $- h o u r s e r v i c e a p p o i n t m e n t, a n d i t c h a r g e d a s e c o n d c u s t o m e r$ $315$ for a $5$ -hour service appointment . Makeover charges $5$ less per hour than Shine. and 10 $m o r e f o r t h e f i x e d a m o u n t . H o w m u c h M a k e o v e r c h a r g e f o r a$ 3$-hour service appointment?

157$

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174$

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181$

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202$

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Solution

The correct option is D 202 $L e t f i x e d a m o u n t$ =x $a n d h o u r l y r a t e$ =y $S o a c c o r d i n g t o q u e s t i o n . s h i n e s a l l o n c h a r g e o n e c u s t o m e r$ x+2y=153 $- i C h a r g e s e c o n d c u s t o m e r$ x+5y=315 $- i i S o f r o m i a n d i i, w e g e t$ \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
$= x + 3 y$
$= 55 + 3 \times 49$
$= 202$
Option D is the correct answer.

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