There are 50 lockers, numbered 1 throught 50, in a short hall at Phillips Middle School. Mr. Giannetti hid trears for his class in one of the lockers. He gave the class the following clues about the locker where the treats are located.

Question

There are 50 lockers, numbered 1 throught 50, in a short hall at Phillips Middle School. Mr. Giannetti hid trears for his class in one of the lockers. He gave the class the following clues about the locker where the treats are located.

Clue 1. The number is even.
Clue 2. The number is divisible by 3.
Clue 3. The number is a multiple of Mr. Giannetti's lucky number 7.
In which locker are the treats located?

Answer 1

What are the multiples of 7 under 50?

Which of those is divisible by 3?

Which of those is even?

Answer 2

To determine which locker the treats are located in, we need to find a number that satisfies all three clues: it must be even, divisible by 3, and a multiple of 7.

Let's break it down step by step:

Step 1: Finding the even numbers.
Out of the 50 lockers, half of them will be even and the other half odd. Since the number must be even, we can eliminate all the odd-numbered lockers.

Now we are left with 25 lockers.

Step 2: Finding the numbers divisible by 3.
To find the numbers divisible by 3, we need to check if each remaining locker number is divisible by 3. We can do this by adding up the digits of each number and checking if the sum is divisible by 3.

By calculating and eliminating the lockers, we find that the lockers numbered 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, and 48 are divisible by 3.

Now we are left with 16 lockers.

Step 3: Finding the numbers that are multiples of 7.
To find the numbers that are multiples of 7, we simply need to check the remaining locker numbers and see if they are divisible by 7.

By checking, we find that the lockers numbered 21 and 42 are multiples of 7.

Therefore, the treats are located in either locker number 21 or locker number 42.

Answer 3

There are 50 lockers numbered 1 through50 in a short hall at Phillips middle school. Mr. Giannetti hid treats for his class in one of the lockers. He gave the class the followings clues about the lockers where are located.

Clue 1: the numbers is even
Clue2: the number is divisible by 3
Clue3: the numbers is a multiple of Mr. Giannetti's lucky number,7 in which locker are treats located?

There are 50 lockers, numbered 1 throught 50, in a short hall at Phillips Middle School. Mr. Giannetti hid trears for his class in one of the lockers. He gave the class the following clues about the locker where the treats are located.

What are the multiples of 7 under 50?

To determine which locker the treats are located in, we need to find a number that satisfies all three clues: it must be even, divisible by 3, and a multiple of 7.

There are 50 lockers numbered 1 through50 in a short hall at Phillips middle school. Mr. Giannetti hid treats for his class in one of the lockers. He gave the class the followings clues about the lockers where are located.

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