Question

How do you divide $\$ 176$ in the ratio 5:11?

Answer 1

Hint: According to the question we have to divide $\$ 176$ in the ratio 5:11. So, to divide $\$ 176$ in the ratio 5:11 first of all we have to understand which of the numbers is on the left end and which number is on the right end of the given ration which is 5:11.
Now, we have to observe how many parts are there total in the ratio which can be determined with the help of the number on the left and the right end of the given ratio.
Now, we have to divide $\$ 176$ into the equal parts which are as mentioned in the question into the parts we have determined and put the number of those parts on the left end and the number of those parts on the right end.

Complete step by step solution:
Step 1: First of all we have to understand which of the numbers is on the left end and which number is on the right end of the given ration which is 5:11. Hence, According to the question given in the question there are 5 parts on the left end and 11 parts on the right end.
Step 2: Now, we have to observe how many parts are there total in the ratio which can be determined with the help of the number on the left and the right end of the given ratio. Hence, there are a total 16 parts according to the ratio 5:11 which is as mentioned in the question.
Step 3: Now, we have to divide $\$ 176$ into the equal parts which are as mentioned in the question into the parts we have determined and put the number of those parts on the left end and the number of those parts on the right end. Hence,
$ \Rightarrow \dfrac{{176}}{{16}} = 11$
But we want,
$ \Rightarrow $$5 \cdot 11 = 55$ on the left
$ \Rightarrow 11 \cdot 11 = 121$ on the right
Which can be expressed like as below,
 $\$ 55:121$

Hence, we have divided $\$ 176$ in the ratio 5:11 which is $\$ 55:121$.

Note:
1) To determine the required division it is necessary that we have to observe how many parts are there total in the ratio which can be determined with the help of the number on the left and the right end of the given ratio.
2) It is necessary to divide $\$ 176$ into the equal parts which are as mentioned in the question into the parts we have determined and put the number of those parts on the left end and the number of those parts on the right end.