Question

Help me write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Answer 1

• Each large pizza feeds about 5 people and each small pizza feeds about 1 person.

Explanation:

Let's say L for 'Large pizza' and S for 'Small pizza'.

We know that:

• Last week = 3S + 2L = 13 players
• This week = 3S + 4L = 23 players

Work:

• 3S + 2L = 13

3S + 4L = 23

• -2L = 13 - 23
• => -2L = -10
• => 2L = 10
• => L = 5

Now, let's substitute the value of L into the first equation.

• 3S + 2L = 13
• => 3S + 2(5) = 13
• => 3S + 10 = 13
• => 3S = 13 - 10
• => 3S = 3
• => S = 1

Hence, each large pizza feeds about 5 people and each small pizza feeds about 1 person.

Hoped this helped.

`BrainiacUser1357`