Answer:
only 2 packages of 1818 cookies
Step-by-step explanation:
If I want to buy only big packages
[tex]3636 \div 1818 = 2[/tex]
Then, i can buy exactly 3636 cookies buying 2 packages of 1818 cookies.
If i want to buy only mall packages
[tex]3636 \div 66 = 55.09[/tex]
Then, there is no way to buy only small packages and get exactly 3636 cookies.
(with 55 packages i get 55x66=3630 and with 56 packages 56x66=3696)
If i want to buy a combination of both packages i can only buy one big package and the rest in small packages.
[tex]3636 - 1818 = 1818 \\ 1818 \div 66 = 27.55[/tex]
Then, there is no way to buy one big and the rest small packages and get exactly 3636 cookies.
(with one big package and 27 small packages we get 1818+27x66=3600 and with one big package and 28 small 1818+28x66=3666)
Then, the only way to get 3636 cookies is with two packages of 1818.
