Question

You have a pitcher that holds $39.3oz$ of lemonade. If each glass holds $8.8oz$ , how many glasses can you completely fill?

Answer 1

Hint: In order to solve the sum, we take a number of glasses to be filled with lemonade as $x$. Now we know that the volume of each glass is $8.8oz$, and the total volume of the pitcher containing the lemonade is $39.3oz$, therefore according to the sum, we form our equation as $8.8 \times x = 39.3$and solve it further to get our value of $x$ and the required answer.

Complete step-by-step solution:
The given question asks us to find the number of glasses that can be filled completely with the lemonade given that each glass can hold about $8.8oz$ of lemonade.
The total volume of the pitcher is given as $39.3oz$ and the volume of each glass is given as $8.8oz$.
Let us take the number of glasses which will be filled completely with the lemonade be $x$
According to the sum, we have:
$8.8 \times x = 39.3$ , as if we multiply the volume of each glass completely filled then we can get the total volume of the lemonade in the given pitcher
Thus, $8.8x = 39.3$
On dividing both the sides of $8.8$, we get:
$ \Rightarrow x = \dfrac{{39.3}}{{8.8}}$
Removing the decimal points, we get:
$ \Rightarrow x = \dfrac{{393}}{{88}}$
On solving it further, we get:
$ \Rightarrow x = 4.465$
Since we need to find the number of glasses that are completely filled, we ignore the decimal part which only represents half-filled glasses.

Therefore, the no. of glasses filled completely with lemonade = \[4\]

Note: These types of questions are called story sums. In order to solve these sums accurately, one must thoroughly read and understand what the question requires. We form our equation accordingly once we have found what we need to place as our unknown constant and relate it with the other variables in the question.