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

4 children
60 notebooks

Answer 2

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

Step-by-step 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=(-8)/(-2)=4`

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

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