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Maths-

General

Easy

Question

A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

30
20
19
18

hint Hint:

We form an algebraic equation and then find the value of the unknown variable to solve the problem.

The correct answer is: 19

Step 1 of 2:
Let the number of tents held 2 people each is x. So, the total number of people in these tents is 2x.
Since there is a total of 60 tents, then the number of tents held 4 people is (60 - x). Similarly, the total number of people in these tents is 4(60 - x).
Step 2 of 2:
A group of 202 people went on an overnight camping trip.
Given the information, we get
$2 m plus 4 left parenthesis 60 minus 202$
$2 m plus 2 equals 40 minus 202$
$4 m rightwards double arrow negative 2 equals 240 minus 202$
$2 m equals 38$
$m rightwards double arrow 1$
Final Answer:
The number of 2-person tents was- C)

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