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24 Jan 2025, 08:02
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Lemon flavored: 43
Strawberry flavored: 37
A candy jar contains 60 candies: 24 identical strawberry flavored, 18 identical lemon flavored, and 18 identical orange flavored. Sarah randomly picks candies from the jar.
Select for Lemon flavored the minimum number of candies Sarah must pick from the jar to ensure getting at least one lemon flavored candy, and select for Strawberry flavored the minimum number of candies Sarah must pick from the jar to ensure getting at least one strawberry flavored candy. Make only two selections, one in each column.
Select for Lemon flavored the minimum number of candies Sarah must pick from the jar to ensure getting at least one lemon flavored candy, and select for Strawberry flavored the minimum number of candies Sarah must pick from the jar to ensure getting at least one strawberry flavored candy. Make only two selections, one in each column.
| Lemon flavored | Strawberry flavored | |
| 18 | ||
| 36 | ||
| 37 | ||
| 42 | ||
| 43 | ||
| 59 |
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Official Answer
Lemon flavored: 43
Strawberry flavored: 37
24 Jan 2025, 08:02
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Official Solution:
1st Column:
Step 1: Consider the worst-case scenario
The worst case is when Sarah picks all non-lemon candies before getting a lemon one.
Step 2: Calculate the number of non-lemon candies
Non-lemon candies = Strawberry + Orange
= 24 + 18 = 42
Step 3: Add one more to ensure a lemon candy
Minimum number = 42 + 1 = 43
Therefore, the answer for Column A is 43.
2nd Column:
Step 1: Consider the worst-case scenario
The worst case is when Sarah picks all non-strawberry candies before getting a strawberry one.
Step 2: Calculate the number of non-strawberry candies
Non-strawberry candies = Lemon + Orange
= 18 + 18 = 36
Step 3: Add one more to ensure a strawberry candy
Minimum number = 36 + 1 = 37
Therefore, the answer for Column B is 37.
Correct answer:
Lemon flavored "43"
Strawberry flavored "37"
Bunuel
1st Column:
Step 1: Consider the worst-case scenario
The worst case is when Sarah picks all non-lemon candies before getting a lemon one.
Step 2: Calculate the number of non-lemon candies
Non-lemon candies = Strawberry + Orange
= 24 + 18 = 42
Step 3: Add one more to ensure a lemon candy
Minimum number = 42 + 1 = 43
Therefore, the answer for Column A is 43.
2nd Column:
Step 1: Consider the worst-case scenario
The worst case is when Sarah picks all non-strawberry candies before getting a strawberry one.
Step 2: Calculate the number of non-strawberry candies
Non-strawberry candies = Lemon + Orange
= 18 + 18 = 36
Step 3: Add one more to ensure a strawberry candy
Minimum number = 36 + 1 = 37
Therefore, the answer for Column B is 37.
Correct answer:
Lemon flavored "43"
Strawberry flavored "37"
11 Jun 2025, 12:01
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I did not quite understand the solution. I got the solution to take the worst case, then what would be answer if the question had asked Maximum..
Isn't taking worst the maximum candies as in no case we would need more than 43 or 37.
So confused on that front.
Isn't taking worst the maximum candies as in no case we would need more than 43 or 37.
So confused on that front.
