Answer:
Nearly 83 students did not had activity card.
Nearly 42 students had an activity card.
Step-by-step explanation:
Total number of tickets sold at homecoming = 125
Cost of each ticket without activity card = $20.5
Cost of each ticket with activity card = $15.75
Total amount earned = $2365
Let, the number of tickets sold without activity car d = k
So, the number of tickets sold without card = (Total sold - k)
= 125 - k
Now, according to the question:
$20.5(k) + $15.75(125 - k) = $2365
or, 20.5 k + 1968.5 - 15.75 k = 2365
⇒ 4.75 k = 2365 - 1968.5 = 396.5
⇒ ![k = \frac{396.5}{4.75 } = 83.47](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B396.5%7D%7B4.75%20%7D%20%20%3D%2083.47)
Hence, nearly 83 students did not had activity card.
So,the number of students that had activity card = 125 - 83.47 = 41.53 ~ 42
Hence, nearly 42 students had an activity card.