Five buses and a car were hired for a group of 92 students going on a school trip. There were 7 students in the car. If all buses had an equal number of students, how many students were there in each bus?

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Solution

The correct option is D 17
Given, total number of students $= 92$
Number of students in the car $= 7$
Number of buses $= 5$
Let the number of students in each bus be $x .$
Then, the number of students in $5$ buses $= 5 x$

Number of students in $5$ buses + number of students in the car = total number of students
$\Rightarrow 5 x + 7 = 92$
Subtracting $7$ from both sides of the equation,

$\Rightarrow 5 x + 7 - 7 = 92 - 7$
$\Rightarrow 5 x = 85$
Dividing both sides by $5,$
$\Rightarrow \frac{5 x}{5} = \frac{85}{5}$
$\Rightarrow x = 17$

Hence, there were $17$ students in each bus.

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