A hotel lobby can seat 14 people at chairs and loveseats. The lobby has a total of 11 pieces of furniture for seating. Assuming a chair seats 1 person and a loveseat seats 2, how many loveseats are in the lobby?

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Question

A hotel lobby can seat 14 people at chairs and loveseats. The lobby has a total of 11 pieces of furniture for seating. Assuming a chair seats 1 person and a loveseat seats 2, how many loveseats are in the lobby?

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paki · Answer

Let L be the # of loveseats

14 = 2*(L) + 1(11 - L)
14 = 2L + 11 - 1L
14 - 11 = 2L - 1L
3 = 1L or L = 3...  @TheCatMan