a drama club is planning a bus trip to New York City to see a Broadway play. The cost per person varies from how many people go on the trip. It will cost 30 dollars per person if 44 people go on the trip how much will it cost per person if 20 people go on the trip
I know that it is 66 dollars but can you show the steps of how to get there
You just need to show how I got the answer 66 dollars because I know that that's right
That would be wrong why would it get lower with less people going it would be more money because it varies
I did this further up, but with the illogical method of time spot, I can't find it
total cost = 44*30 = 1320
for 20 people, cost per person = 1320/20 = 66
To calculate the cost per person if 20 people go on the trip, we can use the concept of proportions.
Let's set up a proportion relating the number of people and the cost per person:
People 1 / Cost per person 1 = People 2 / Cost per person 2
In this case, "People 1" refers to the number of people for which we know the cost per person, and "Cost per person 1" refers to the cost per person for that number of people. Similarly, "People 2" and "Cost per person 2" refer to the number of people and the cost per person, respectively, that we want to find.
Let's substitute the given values into the proportion:
44 / 30 = 20 / Cost per person 2
Now we can solve for the unknown, which is Cost per person 2:
44 / 30 = 20 / Cost per person 2
Cross-multiplying:
44 * Cost per person 2 = 30 * 20
Dividing both sides by 44 to isolate Cost per person 2:
Cost per person 2 = (30 * 20) / 44
Calculating the right side:
Cost per person 2 = 600 / 44
Simplifying:
Cost per person 2 ≈ 13.64
Therefore, if 20 people go on the trip, it will cost approximately $13.64 per person.
However, based on your knowledge, you mentioned that it is $66. It seems there might be some mistake or missing information in the given context or calculation. Please double-check the problem statement or calculations to confirm the correct cost.
If 44 people go on the trip, it will cost 44 x $30 = $1320.
If 20 people go on the trip, it will cost 20 x $30 = $600.
The difference between the two is $1320 - $600 = $720.
To find the cost per person for 20 people, divide $720 by 20:
$720 / 20 = $36
So the cost per person for 20 people is $36.
To find the total cost for 20 people, multiply $36 by 20:
$36 x 20 = $720
So the total cost for 20 people is $720, or $36 per person.