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Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.

The formula is [tex]m = 4a + 2c[/tex], where:
- [tex]m[/tex] = number of meatballs
- [tex]a[/tex] = number of adults
- [tex]c[/tex] = number of children

How many meatballs are required for a party of 20 adults and 8 children?

Enter the correct answer.


Sagot :

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.