To determine the number of meatballs required for a party with 20 adults and 8 children, we use the formula:
[tex]\[ m = 4a + 2c \][/tex]
Where:
- [tex]\(a\)[/tex] is the number of adults
- [tex]\(c\)[/tex] is the number of children
- [tex]\(m\)[/tex] is the number of meatballs
Given:
- [tex]\(a = 20\)[/tex]
- [tex]\(c = 8\)[/tex]
Let's substitute these values into the formula:
[tex]\[
m = 4(20) + 2(8)
\][/tex]
First, calculate [tex]\(4 \times 20\)[/tex]:
[tex]\[
4 \times 20 = 80
\][/tex]
Next, calculate [tex]\(2 \times 8\)[/tex]:
[tex]\[
2 \times 8 = 16
\][/tex]
Now, add these two results together:
[tex]\[
80 + 16 = 96
\][/tex]
Therefore, Frank needs to prepare:
96 meatballs for a party with 20 adults and 8 children.
