Question

The cost of a shuttlecock box is \[ $170\]. If each box has 10 cocks, what is the cost of one shuttlecock?

Answer 1

Hint: First of all, we will write the number of shuttlecock present in the shuttlecock box. Then we shall write the price of all the shuttlecocks in the box. Since, we have to find the price of one shuttlecock, we will divide the total price of the box by the total number of shuttles present.

Complete step by step solution:
Given that, there are 10 shuttlecocks present in a shuttlecock box.
Next, it is given that the cost of a shuttlecock box is \[ $170\], which implies that the price of 10 shuttlecocks is \[ $170\].
Hence, we are given that,
Total cost of shuttlecock box=\[ $170\]
Number of Shuttlecocks present in one box= \[10\]
When we have to find the value of a single item such that the value of such multiple items are given, we divide the value of multiple items by the total number of items.
This method is also known as the unitary method, where we find the value of a single item.
We have to find the price of one shuttlecock, so we will divide the total price of the shuttlecock box by the total number of shuttlecocks present in the box.
Cost of one shuttlecock= \[\dfrac{\text{Cost of shuttlecock box}}{\text{Number of shuttlecocks in one box}}\]
On dividing $170$ by $17$, we get the price of one shuttlecock as \[ $17\].
Hence, the cost of one shuttlecock is \[ $17\].

Note: In this question, since the price of one item is asked, when the price of \[10\] items is given, we will use division in this case. But if the price of one item would have been given and it would have been asked to find the price of more than one item, then we use multiplication.