Question 63
A chocolate shop sells boxes containing $8$, $9$, and $10$ chocolates. Some exact quantities, such as $12$ chocolates, cannot be purchased.
a) Find another quantity of chocolates that cannot be purchased.
b) Verify that every integer greater than $56$ can be written as $8x + 9y$, where $x$ and $y$ are nonnegative integers.
c) What is the largest exact quantity of chocolates that cannot be purchased at this shop?
a) Find another quantity of chocolates that cannot be purchased.
b) Verify that every integer greater than $56$ can be written as $8x + 9y$, where $x$ and $y$ are nonnegative integers.
c) What is the largest exact quantity of chocolates that cannot be purchased at this shop?