Answer:
22
Step-by-step explanation:
Given:
An art teacher has the total number of buttons = [tex]b[/tex]
1. In order to give each in the class 6 buttons, she will need 18 more buttons.
2. If she gives each child 5 buttons, she will have 4 left over.
Question asked:
How many children are in the class ?
Solution:
Let total number of children in the class = [tex]x[/tex]
As given that, 18 more buttons will be needed to give 6 buttons to each.
The equation will be:-
[tex]b+18=6x\\b-6x=-18\ (equation\ 1)[/tex]
Also given that, If she gives 5 buttons to each, she will have 4 left over.
The equation will be:-
[tex]b-5x=4\ (equation\ 2)[/tex]
Subtraction equation 2 from 1
[tex]b-6x-(b-5x)=-18-4\\b-6x-b+5x=-22\\-6x+5x=-22\\-x=-22\\Minus\ canceled\ by\ minus\\x=22[/tex]
Hence, total number of children are 22.
