Question

Mama had several notebooks. If she give 13 notebooks to each of her children, she will have 8 left. If she give 15 notebooks to each of her children, she will have nothing left. What is the smallest number of notebooks and children does mama have?
? children

? notebooks

Answer 1

The number of children is 4 and the number of notebooks is 60.

Explanation

Lets assume, Mama has $x$ number of children and $y$ number of notebooks.

If she give 13 notebooks to each of her children, then 8 books are left. So,

$y=13x+8 ...............................(1)$

And If she give 15 notebooks to each of her children, she will have nothing left. That means $y= 15x ..............................(2)$

Now solving the system of equations, we will get ....

$13x+8=15x\\ \\ 13x-15x= -8\\ \\ -2x= -8\\ \\ x=\frac{-8}{-2}=4$

Now, $y=15x=15(4)=60$

So, the number of children is 4 and the number of notebooks is 60.

Answer 2

4 children
60 notebooks