Question

3. Jared is inviting his friends to a party. He has 48 fruit snacks and 63 cokes, and he wants to givethe same number of each item to each friend. What is the greatest number of friends that Jaredcan invite over? How many fruit snacks and cokes will each friend get?

Answer 1

To solve the exercise, we are going to find the greatest common factor or GCF of 48 and 63:

• Factors of 48: 1, 2, ,3,, 4, 6, 8, 12, 16, 24, and 48.

• Factors of 63: 1, ,3,, 7, 9, 21, and 63.

Notice that the greatest common factor of 48 and 63 is 3.

Therefore, the greatest number of friends that Jared can invite over is 3.

For the second question, we divide the number of fruit snacks by the number of friends that Jared can invite, and we divide the number of cokes by the number of friends that Jared can invite:

`\begin{gathered} (48)/(3)=16\Rightarrow\text{ Fruit snacks} \\ (63)/(3)=21\Rightarrow\text{ Cokes} \end{gathered}`

Therefore, each friend will receive 16 fruit snacks and 21 cokes.