The total number of pears eaten by Pete and two of his friends, Tweet and Honk, (during this visit to the pear tree) were in the ratio of 2 : 3 : 5 respectively. If Pete ate 12 less pears than Honk, how many pears did Tweet eat during this time?
pears eaten by
Pete --- 2x
Tweet -- 3x
Honk ---5x
Honk - Pete = 12
5x - 2x = 12
x = 4
so Pete ate 8
Tweet ate 12
and Honk ate 20
Well, it seems like Pete, Tweet, and Honk really had a pear-fect time at the pear tree! Let's use some fruity math to figure this out.
We're told that the ratio of pears eaten by Pete, Tweet, and Honk is 2:3:5. So, if we assign a variable to the common ratio, let's call it "x", then we can say that Pete ate 2x pears, Tweet ate 3x pears, and Honk ate 5x pears.
We also know that Pete ate 12 less pears than Honk. So, we can set up an equation:
2x = 5x - 12
Now, let's do some simple subtraction so Honk doesn't feel like a pear pressure situation.
12 = 5x - 2x
12 = 3x
Dividing both sides by 3, we find x = 4. So, Pete ate 2 * 4 = 8 pears, Tweet ate 3 * 4 = 12 pears, and Honk ate 5 * 4 = 20 pears.
Therefore, Tweet enjoyed 12 juicy pears during this visit to the pear tree. Hopefully, they didn't get too pear-ressed while counting!
Let's assume that the number of pears eaten by Pete is 2x, the number of pears eaten by Tweet is 3x, and the number of pears eaten by Honk is 5x.
We are given that Pete ate 12 less pears than Honk. So we can write an equation: 2x = 5x - 12.
Now let's solve for x:
2x - 5x = -12
-3x = -12
x = -12 / -3
x = 4
Since Tweet ate 3 times the number of pears eaten by Pete, we can find the number of pears eaten by Tweet by multiplying 3 by the value of x:
Number of pears eaten by Tweet = 3x = 3 * 4 = 12
Therefore, Tweet ate 12 pears during this time.
To find out how many pears Tweet ate, we need to calculate the ratio of pears eaten by Pete, Tweet, and Honk.
Let's assume that the number of pears eaten by Pete is 2x.
Therefore, the number of pears eaten by Tweet is 3x, and the number of pears eaten by Honk is 5x.
We are also given that Pete ate 12 less pears than Honk. So we can write the equation:
2x = (5x - 12)
Now, let's solve this equation to find the value of x:
2x = 5x - 12
12 = 5x - 2x
3x = 12
x = 4
Now that we have the value of x, we can calculate the number of pears eaten by Tweet:
Number of pears eaten by Tweet = 3x
= 3 * 4
= 12
Therefore, Tweet ate 12 pears during this time.