Question

A hotel lobby can seat 19 people at chairs and loveseats. The lobby has a total of 12 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

7

Answer 1

we can use algebra, but it is much easier to guess and check for this one
lets guess 6 since it is usually C
if there are 6 love seats then there are 6 chairs
that would seat 12 in the love seats and 6 in the chairs for a total of 18, but you want 19 so C is not the answer

Answer 2

try D

Answer 3

i got 14 for d

Answer 4

x = chairs
y = loveseats

x + y = 12
x + 2y = 19

Just use the algebra

Answer 5

i got 6

Answer 6

Nope, not correct

Answer 7

cause 12 dived 2

Answer 8

Let me post the steps

Answer 9

we checked that 6 did not work

Answer 10

x + y = 12
x + 2y = 19


Mulitiply the first equation by -1 to get

-x - y = -12
x + 2y = 19

Add the two equations together to get:

y = 7

Answer 11

6 love seats seats \(6\times 2=12\) people
if there are 6 love seats there are also 6 chairs (since the total is 12) and they each seat only one person and 12 + 6 = 18 but you want 19

Answer 12

so 7

Answer 13

Well y was defined as loveseats so what do you think?

Answer 14

i think its 7 cause 7+12=19

Answer 15

i think