Question

Cookies are sold singly or in packages of

Answer 1

Answer:

only 2 packages of 1818 cookies

Step-by-step explanation:

If I want to buy only big packages

$3636 \div 1818 = 2$

Then, i can buy exactly 3636 cookies buying 2 packages of 1818 cookies.

If i want to buy only mall packages

$3636 \div 66 = 55.09$

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.

$3636 - 1818 = 1818 \\ 1818 \div 66 = 27.55$

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.