Question

246 apples can be packed in a cartoon .How many cartons are required to pack 2755200 apples?

Answer 1

Hint: We need to find the number of cartons for 2755200 apples. For this, we will have to divide the total number of apples by the number of apples that can be placed in a carton.

Complete step-by-step solution:
We are given that number of apples that can be packed in a cartoon =246
We need to find the number of cartons required to pack 2755200 apples. This can be done by dividing the total number of apples by the number of apples that can be placed in a carton.
Required number of cartons $=\dfrac{\text{Total number of apples}}{\text{Number of apples in a carton}}$
Let us now substitute the values.
Required number of cartons \[=\dfrac{2755200}{246}\]
To divide this, let us cancel the numerator and denominator by 2.
Required number of cartons \[=\dfrac{1377600}{123}\]
Now, we can further simplify the numerator and denominator by cancelling them throughout by 3.
Required number of cartons \[=\dfrac{1377600}{123}=\dfrac{459200}{41}\]
Let us divide 459200 by 41.
\[\begin{align}
  & 41\overset{11200}{\overline{\left){459200}\right.}} \\
 & \text{ }-41 \\
 & \text{ }\_\_\_\_\_\_ \\
 & \text{ 49} \\
 & \text{ }-41 \\
 & \text{ } \\
 & \text{ }\_\_\_\_\_\_ \\
 & \text{ 82} \\
 & \text{ }-82 \\
 & \text{ }\_\_\_\_\_\_\_ \\
 & \text{ }0 \\
 & \text{ }-0 \\
 & \text{ }\_\_\_\_\_ \\
 & \text{ 0} \\
 & \text{ }-0 \\
 & \text{ }\_\_\_\_\_ \\
 & \text{ }0 \\
\end{align}\]

Hence, required number of cartons =11200

Note: Students have a chance of making mistakes when finding the number of cartons required. They may multiply the total number of apples with the number of apples that can be placed in a carton. They may also make errors by dividing the number of apples that can be placed in a carton by the total number of apples.