Answered

Solve the following problems:

1. A man earns ₹25,20. He spends ₹2250 and saves the rest. Find the ratio of:
a. Earnings to expenditure
b. Earnings to savings
c. Savings to expenditure

2. Simplify the following ratios:
a. [tex]\(2 \frac{1}{4} \text{ kg} : 3.6 \text{ kg}\)[/tex]
b. 45 min : 900 sec

3. In a recipe, [tex]\(2 \frac{1}{4}\)[/tex] cups of flour, 1 cup of milk, and [tex]\(1 \frac{1}{2}\)[/tex] cups of nuts are mixed. Simplify the ratio of flour to milk to nuts.

4. If 4 sweets are to be distributed between Sita and Geeta in the ratio of 1:1, how many sweets would each get?

5. In an election, candidates A and B received votes in the ratio of 2:3. The total number of votes was 360. How many votes did candidate A get?



Answer :

GinnyAnswer
To determine the number of votes that candidate A received, we need to carefully examine the given ratio and total votes.

We are told that candidates A and B received votes in a ratio of 2:3 and that the total number of votes is 360.

Here is a detailed, step-by-step solution:

1. Understand the ratio: The ratio 2:3 means that for every 5 parts (2 parts for A and 3 parts for B), the parts are divided into 2 parts for A and 3 parts for B.

2. Total parts: The total number of parts is the sum of the parts for candidates A and B. This is [tex]\(2 + 3 = 5\)[/tex] parts.

3. Votes for candidate A:
- Candidate A receives 2 parts out of 5.
- To find the number of votes candidate A gets, we multiply the fraction of parts candidate A receives by the total number of votes.
- This gives us:

[tex]\[ \text{Votes for candidate A} = \left(\frac{2}{5}\right) \times 360 \][/tex]

4. Calculating the votes:
[tex]\[ \text{Votes for candidate A} = \left(\frac{2}{5}\right) \times 360 = 144 \][/tex]

Therefore, candidate A received 144 votes.

To summarize, in the election, candidate A received 144 votes from the total of 360 votes, given the ratio of 2:3 between candidate A and candidate B.