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Pickers
Answer : 30 apples
AI answer
Let's denote the correct number of apples as A.
According to the given information:
1. One person guesses 3 apples too many.
This corresponds to A + 3.
2. Another person guesses 7 apples too many.
This corresponds to A + 7.
3. One person guesses one less apple than the correct amount. This corresponds to A - 1.
4. One person guesses 3 apples less than the correct amount.
This corresponds to A - 3.
Now, let's match these guesses with the individuals:
- Pat guesses 33 apples, which is A + 3.
- Côme guesses 29 apples, which is A - 3.
- Ron guesses 27 apples, which is A - 1.
- Richelle guesses 37 apples, which is A + 7.
So, we can set up the following equations:
1. Pat's guess: (A + 3 = 33)
2. Côme's guess: (A - 3 = 29)
3. Ron's guess: (A - 1 = 27)
4. Richelle's guess: (A + 7 = 37)
Now, solve these equations to find the correct number of apples (A):
1. (A + 3 = 33)
Subtract 3 from both sides: (A = 30)
2. (A - 3 = 29)
Add 3 to both sides: (A = 32)
3. (A - 1 = 27)
Add 1 to both sides: (A = 28)
4. (A + 7 = 37)
Subtract 7 from both sides: (A = 30)
Now, we notice that the correct number of apples that satisfies all the conditions is (A = 30).
Therefore, there are 30 apples in the bushel.
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