Question

Ay a party the number of people who ate meatballs was 11 fewer than 1/3 of the total of people. Five people ate meatballs. Write the equation and solve

Answer 1

Answer:

  48 people

Step-by-step explanation:

Let p represent the total number of people at the party. The number who ate meatballs is ...

  1/3p -11 = 5

  1/3p = 16 . . . . . add 11

  p = 48 . . . . . . . multiply by 3

There were 48 people at the party.

Answer 2

The equation and number of people are 3y = x - 33 and 48.

Linear system

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

At a party, the number of people who ate meatballs was 11 fewer than 1/3 of the total of people.

To find

The equation and solve.

How to get the equation and solve it?

Let x be the total people and y be the people who ate meatballs.

At a party, the number of people who ate meatballs was 11 fewer than 1/3 of the total of people.

Then according to this, the equation will be

$\rm y = \dfrac{x}{3} - 11 \ \ \ \ or\ \ \ 3y = x - 33$

Five people ate meatballs. then y = 5

$\begin{aligned} \rm y &= \dfrac{x}{3} - 11\\\rm 5 &= \dfrac{x}{3} - 11\\ 15 &= x - 33\\x &= 15 + 33 \\x &= 48\\\end{aligned}$

Thus the equation and number of people are 3y = x - 33 and 48.

More about the linear system link is given below.

https://brainly.com/question/20379472