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?

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Mathematics

12 April, 14:14

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?

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Milton · Answer 1

X = 2 person tents ... y = 4 person tents

x + y = 60 ... y = 60 - x

2x + 4y = 202

2x + 4 (60 - x) = 202

2x + 240 - 4x = 202

2x - 4x = 202 - 240

-2x = - 38

x = - 38/-2

x = 19 < = = u have 19 two person tents

x + y = 60

19 + y = 60

y = 60 - 19

y = 41 ... and 41 four person tents