32. If mom gives each of her children 13 notebooks, she will have 8 notebooks left; if she gives them 15 notebooks each, all the notebooks will be distributed. How many notebooks did mom have?
32. If the number of children was $a$, then the total number of notebooks was $15a$. When dividing $15a$ by 13, the quotient is $a$ and the remainder is 8. Therefore, $15a = 13a + 8$, from which $2a = 8$ and $a = 4$. Thus, the total number of notebooks was $60 (15 \cdot 4 = 60)$.