A hotel lobby can seat 29 people at chairs and loveseats. The lobby has a total of 23 pieces of furniture for seating. Assuming a chair seats 1 person and a loveseat seats 2, how many loveseats are in the lobby? 4 5 6 or 7?

Question

A hotel lobby can seat 29 people at chairs and loveseats. The lobby has a total of 23 pieces of furniture for seating. Assuming a chair seats 1 person and a loveseat seats 2, how many loveseats are in the lobby?  4 5 6 or 7?

anonymous · Answer

the problem set up is 
C+L=29
1C+2L=23

anonymous · Answer

so 11?

anonymous · Answer

wait i think my set up was wrong

anonymous · Answer

yep it was 23 and 29 should be switched

anonymous · Answer

but wouldnt there have to be more than 7 loveseats?

anonymous · Answer

ummm no there are 6.
C+L=23         -C-L=-23
C+2L=29         C+2L=29
let multply by -1          wen yu add this together yu get...?

anonymous · Answer

......that make no sence to me

anonymous · Answer

ummm ok chairs is C and loveseats is L get tht part?

anonymous · Answer

ya

anonymous · Answer

there are 23 pieces all together right?

anonymous · Answer

nvm i get it naw..thx

anonymous · Answer

welcome anytime