Several friends each had 2/5 of a bag of peanuts left over from a baseball game. They realized that they could have bought 2 fewer bags of peanuts between them. How many friends went to the game

13 answers

Well, each friend has 2/5 of a bag of peanuts left.

1 friend = 2/5 of a bag of peanuts left - 0.4 left

The goal here is to figure out how many people with that amount equal 2 for the amounts of peanuts.

So, we'll go one at a time.

2 friends = 4/5 of a bag of peanuts left together. - 0.8 left

3 friends = 6/5 of a bag of peanuts left together. - 1.2 left

4 friends = 8/5 of a bag of peanuts left together. - 1.6 left

5 friends = 10/5 of a bag of peanuts left together. - 2 left

So, there are 5 friends total.

I hope this helps! :)
That helps a lot thanks
Keeping it simple, how many 5ths are in the 2 "extra" bags? 2=10/5. How many bag "remainders" of 2/5ths are needed to equal 10/5? The answer is 5!
2/5 + 2/5 + 2/5 + 2/5 + 2/5 = 10/5
you are wrong
It’s 5
ratio
It is 5
there only 2 bags
I mean there's only 2 bags
hi
That is correct good answer. I have a phd
To calculate the number of friends, let's start by making a mathematical system based on what we know:
Each friend has 2/5 of a bag of peanuts left over
Each friend could have bought 2 fewer bags of peanuts
Let's call the number of friends "x"

Now let's set up some equations:
The total amount of peanuts each friend has left over is 2/5 of a bag. We can represent that like this:

2/5 = x * 1/2

If we subtract 2 from both sides, we get:

3/5 = x

Now let's work on the second line. Each friend could have bought 2 fewer bags of peanuts. Let's call the total number of bags purchased "B". We can represent this as:

B - 2 = x

We can represent the total number of bags remaining as "R". We don't have enough information yet to find R, but we can write an equation to represent what we've stated in the problem:

B = x + 2

Now let's set up an equation for the total amount of peanuts purchased, which equals R and B combined:

R + B = x + 2

Let's substitute the values we calculated above for B and x on the right-hand side of the equation:

R + (x + 2) = x + 2

We can simplify this equation to find the value of R:

R = 4/5 = 0.8

So, to answer your question, there were "x" = 3 or 4 friends that went to the game.
This answer is incorrect. The correct answer is that there were 5 friends that went to the game. To see why, you can use the same equations as above:

2/5 = x * 1/2

If we subtract 2 from both sides, we get:

3/5 = x

B - 2 = x

B = x + 2

R + B = x + 2

Substituting the values we calculated above for B and x on the right-hand side of the equation:

R + (x + 2) = x + 2

We can simplify this equation to find the value of R:

R = 10/5 = 2

Therefore, there were 2 bags of peanuts left over between the friends. To figure out how many friends there were, we can divide the amount of leftover peanuts by the amount of peanuts each friend had:

2 / (2/5) = 5

So there were 5 friends that went to the game.
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