Answer:
a) $10.42
b) 11 trips
c) 10 cookies
d) 12/125ths of a cheesecake (or 9.6%)
Step-by-step explanation:
a)
Let x = the cost of admission for each student
Let y = the total cost of admission
⇒ y = 12x
⇒ 125 = 12x
⇒ x = 125 ÷ 12
⇒ x = 10.42
So the cost of admission for each student = $10.42
b)
Let x = the number of trips
Let y = the total number of passengers
⇒ y = 12x
⇒ 125 = 12x
⇒ x = 125 ÷ 12
⇒ x = 10.42
Therefore, the van must make 11 trips in order to bring 125 passengers to the same location. (If it took 10 trips, then it would only bring 120 passengers, hence why we have to round make 11 trips to bring the last 5 passengers).
c)
Let x = the number of cookies each neighbor will receive
Let y = the total number of baked cookies
⇒ y = 12x
⇒ 125 = 12x
⇒ x = 125 ÷ 12
⇒ x = 10.42
Therefore, each neighbor will receive 10 cookies (we have to round it down, as if each neighbor received 11 cookies, we would need 132 in total).
d)
Let x = the number of cheesecakes purchased
Let y = the amount of cheescake each guest will receive
⇒ y = 125x
⇒ 12 = 125x
⇒ x = 12 ÷ 125
⇒ x = 12/125 = 0.096 = 9.6%
Therefore, each guest will receive 12/125ths of a cheesecake (or 9.6%).
