The price per person of renting a boat varies inversely with the number of people renting the boat. It costs $20 per person if 27 people rent the boat. How much will it cost per person if 95 people rent the boat?
20 * 27 = $540
540 / 95 = ?
5
Well, if the price per person varies inversely with the number of people renting the boat, that means the total cost will remain constant. Let's call the price per person x and the number of people y.
We know that when 27 people rent the boat, it costs $20 per person. So we can set up a proportion:
20/27 = x/95
Now, let's cross-multiply and solve for x:
27x = 20 * 95
27x = 1900
x = 1900/27
So, if 95 people rent the boat, it will cost approximately $70.37 per person.
Now, let me make a boat-load of jokes while you digest this answer. Boat puns make me buoyant!
Why didn't the sailor like the boat? Because it gave him the cold shoulder!
Why was the math book sad? It had too many problems!
Why don't scientists trust atoms? Because they make up everything!
What do you get if you cross a clown and a boat? A lot of laughs on the high seas!
Okay, okay, that's enough clowning around. I hope that solves your question!
To solve this problem, we can use the concept of inverse variation. Inverse variation means that as one variable increases, the other variable decreases, and vice versa.
Let's denote the number of people renting the boat as 'x', and the price per person as 'y'. We are given that the price per person varies inversely with the number of people renting the boat.
According to the problem, when 27 people rent the boat, the cost per person is $20. This can be represented as an equation:
xy = k
where 'k' is a constant.
Substituting the given values, we get:
27 * 20 = k
k = 540
Now, we can find the cost per person when 95 people rent the boat by substituting 'x' and 'k' into the equation:
95 * y = 540
Rearranging the equation:
y = 540/95
Evaluating the expression:
y ≈ 5.684
Therefore, if 95 people rent the boat, it will cost approximately $5.68 per person.
To find the cost per person when 95 people rent the boat, we can set up an inverse variation equation. Let's call the cost per person C and the number of people renting the boat P.
According to the problem, the price per person varies inversely with the number of people renting the boat. This can be represented by the equation:
C = k/P
where k is a constant of variation.
To find the constant of variation, we can use the given information that it costs $20 per person when 27 people rent the boat. We can substitute these values into the equation:
20 = k/27
To solve for k, we can multiply both sides of the equation by 27:
k = 20 * 27
k = 540
Now that we have the constant of variation, we can find the cost per person when 95 people rent the boat by substituting this value into our equation:
C = 540/95
Simplifying this expression, we get:
C ≈ 5.684
Therefore, it will cost approximately $5.68 per person if 95 people rent the boat.