The $1 belongs in the box.
<h3>What are the equations that represent the question assuming the $1 does not belong in the box?</h3>
s + c = 47 equation 1
5s + 4c = 200 equation 2
<h3>How many singles and couples bought the ticket assuming that the $1 does not belong in the box?</h3>
Multiply equation 1 by 5
5s + 5c = 235
Subtract equation 2 from equation 3
c = 35
Subtract 35 from 47
c = 47 - 35 = 12
35 couples tickets and 12 individual tickets were sold. This is not possible since the couples tickets were sold in 2.
<h3>What are the linear equations that represent the question if the 1 dollar belonged in the box?
</h3>
s + c = 47 equation 1
5s + 4c = 201 equation 2
<h3>How many couples tickets were sold?</h3>
Multiply equation 1 by 5
5s + 5c = 235
Subtract equation 2 from equation 3
c = 34
34 is divisible by 2 so the $1 belongs in the box.
Here is the complete question:
Nola was selling tickets at the high school dance. At the end of the evening, she picked up the cash box and noticed a dollar lying on the floor next to it. She said,
I wonder whether the dollar belongs inside the cash box or not.
The price of tickets for the dance was 1 ticket for $5 (for individuals) or 2 tickets for $8 (for couples). She looked inside the cash box and found $200 and ticket stubs for the 47 students in attendance. Does the dollar belong inside the cash box or not?
To learn more about linear equations, please check: brainly.com/question/26434260
#SPJ1
