Jesse bought a $340$ -gram bag of ground coffee. He uses $18.75$ grams of ground coffee each day. When there are $40$ grams of ground coffee remaining in the bag, Jesse will buy another bag to make sure he doesn't run out of coffee.

Answer 1

To find out how many days the bag of coffee will last, we first need to determine how many grams of coffee Jesse will use before he buys a new bag.

Let $x$ be the number of days the bag will last.

Since Jesse uses $18.75$ grams of coffee each day, the total amount of coffee used after $x$ days is $18.75x$ grams.

The total amount of coffee in the bag is $340$ grams, and there are $40$ grams remaining before Jesse buys a new bag. So, the total amount of coffee used is $340 - 40 = 300$ grams.

Setting up an equation to solve for $x$:

$$18.75x = 300$$
$$x = \frac{300}{18.75} = 16$$

Therefore, the bag of ground coffee will last Jesse $16$ days before he buys a new bag.