Morton will give 3 cookies to each student and 6 cookies to each friend
Solution:
Let "x" be the cookies given to each student
Let "y" be the cookies given to each friend
Each friend will get 3 more cookies than each student
Therefore,
cookies given to each friend = 3 + cookies given to each student
y = x + 3 -------- eqn 1
She has a total of 112 students and 12 friends and made of total of 408 cookies for everyone
Therefore, we frame a equation as:
112x + 12y = 408 ---------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
112x + 12(x + 3) = 408
112x + 12x + 36 = 408
124x = 372
x = 3
Substitute x = 3 in eqn 1
y = 3 + 3
y = 6
Thus Morton will give 3 cookies to each student and 6 cookies to each friend
Ms. Morton predicts that she will give each friend 4 cookies and each student 7 cookies. So this is incorrect