Brett currently spends 160 $e a c h m o n t h o n g a s . H i s c u r r e n t c a r i s a b l e t o t r a v e l$ 30 $m i l e s p e r g a l l o n o f g a s . H e d e c i d e s t o s w i t c h h i s c u r r e n t c a r f o r a n e w c a r t h a t i s a b l e t o t r a v e l$ 40$ miles per gallon of gas. Assuming the price of gas stays the same, how much will he spend on gas each month with the new car?

100$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

120$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

130$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

140$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 120$
Let $x$ be the price of gas per gallon
$⟹$ the fills $\frac{160}{x}$ gallons every month
$⟹$ He travels totally $30 \times \frac{160}{x}$ every month $= \frac{4800}{x}$ miles
with his new car he needs to fill only $\frac{(\frac{480}{x})}{40} = \frac{120}{x}$ gallons
Total Price $= \frac{120}{x} \times x$
$= $ 120$

Suggest Corrections

Similar questions

\begin{matrix} H e i g h t (i n c m) & 100 - 110 & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 & 150 - 160 & 160 - 170 & 170 - 180 N o . o f g o a l s s c o r e d & 8 & 10 & 15 & 9 & 12 & 14 & 13 & 10 \end{matrix}

Daily wages(Rupees)	$100 - 110$	$110 - 120$	$120 - 130$	$130 - 140$	$140 - 150$	$150 - 160$
No. of workers	$37$	$38$	$40$	$33$	$28$	$24$

Given below are the weekly wages of 200 workers in a small factory:

Calculate the mean weekly wage of the workers.

154

Classes	$120 - 130$	$130 - 140$	$140 - 150$	$150 - 160$	$160 - 170$	$170 - 180$
Frequency	$2$	$8$	$12$	$f$	$8$	$7$

Find the mean, using assumed-mean method:

$\begin{matrix} Class & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 Frequency & 10 & 20 & 30 & 15 & 5 \end{matrix}$

Join BYJU'S Learning Program