Jerry has 12 fishballs, 6 nuggets and 18 curry puffs.He wants to pack the snacks equally into packets without any snacks left over.Write your answers in numerals.(a) The greatest number of packets he can pack is .(b) Each packet will contain fishballs, nuggets and curry puffs.
Question
Jerry has 12 fishballs, 6 nuggets and 18 curry puffs.He wants to pack the snacks equally into packets without any snacks left over.Write your answers in numerals.(a) The greatest number of packets he can pack is .(b) Each packet will contain fishballs, nuggets and curry puffs.
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the numbers 12 (fishballs), 6 (nuggets), and 18 (curry puffs). The GCD is the largest number that can divide all these numbers without leaving a remainder.
Step 1: List the factors of each number.
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 6: 1, 2, 3, 6
- Factors of 18: 1, 2, 3, 6, 9, 18
Step 2: Identify the common factors.
- Common factors of 12, 6, and 18: 1, 2, 3, 6
Step 3: The greatest common factor is 6.
So, the answers are: (a) The greatest number of packets he can pack is 6. (b) Each packet will contain 2 fishballs, 1 nugget, and 3 curry puffs.
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