During last week's visit to this same pear tree, Pete ate 3 times as many pears as Tweet, and Tweet ate 5 fewer pears than Honk. If together the boys ate 25 pears, how many pears did Honk eat during last week's visit?
Well, well, well, seems like we have a juicy pear puzzle here! Let's break it down, shall we?
Let's start with Honk. We know that Tweet ate 5 fewer pears than Honk, so if Tweet ate X pears, then Honk must have eaten X + 5 pears.
Now let's move on to Pete. We know that Pete ate 3 times as many pears as Tweet. So if Pete ate 3X pears, then Tweet must have eaten X pears.
If we add up the pears eaten by all three boys, we get X + (X + 5) + 3X = 25.
Simplifying that equation, we get 5X + 5 = 25.
Subtracting 5 from both sides of the equation gives us 5X = 20.
And finally, dividing both sides by 5 gives us X = 4.
So, if Tweet ate 4 pears, then Honk must have eaten 4+5 = 9 pears during last week's visit to the pear tree!
Hope that helps, and remember, pears are a-pearingly delicious!
Let's assign variables to the number of pears eaten by each boy.
Let T represent the number of pears eaten by Tweet.
Thus, Pete ate 3 times as many pears as Tweet, or 3T.
And Honk ate 5 fewer pears than Tweet, or T - 5.
We know that together the boys ate 25 pears, so we can write the equation:
T + 3T + (T - 5) = 25
Combining like terms, we get:
5T - 5 = 25
Adding 5 to both sides:
5T = 30
Dividing both sides by 5:
T = 6
Therefore, Tweet ate 6 pears.
Now, we can find the numbers of pears ate by Pete and Honk:
Pete ate 3T = 3 * 6 = 18 pears
Honk ate T - 5 = 6 - 5 = 1 pear
Thus, Honk ate 1 pear during last week's visit.
To find out how many pears Honk ate during last week's visit, let's work through it step by step.
Let's start by assigning variables to the unknown quantities. Let:
- Honk's number of pears eaten be H
- Tweet's number of pears eaten be T
- Pete's number of pears eaten be P
From the given information, we know that Pete ate 3 times as many pears as Tweet, so we can express this relationship as: P = 3T.
We are also told that Tweet ate 5 fewer pears than Honk, so we can express this relationship as: T = H - 5.
Finally, we know that together the boys ate 25 pears, so we can express this as: H + T + P = 25.
Now we can substitute the expressions for P and T into the equation for the total number of pears eaten:
H + (H - 5) + 3(H - 5) = 25
Simplifying the equation:
H + H - 5 + 3H - 15 = 25
5H - 20 = 25
5H = 45
H = 9
Therefore, Honk ate 9 pears during last week's visit.
T = (H-5 )
P = 3 T so P = (3 H - 15)
T + P + H = 25
(H-5) +(H-15) + H = 25
3 H - 20 = 25
3 H = 45
H = 15 the end