Solve the following word problems.

a. A school has an enrollment of 8,000 boys and 4,528 girls. How many more boys are there on the rolls of the school?
Ans [tex]$=$[/tex] [tex]$\qquad$[/tex]

b. A kitchenware item costs ₹8,940 and a juicer costs ₹6,784. If Priya has ₹35,000 with her, after buying both these items, how much money is left with her?
Ans [tex]$=$[/tex] [tex]$\qquad$[/tex]

c. In an election, 82,743 votes were found valid, 5,482 votes were found invalid, and 8,948 persons did not come to vote. How many votes were registered in all?
Ans [tex]$=$[/tex] [tex]$\qquad$[/tex]



Answer :

Let's solve the word problems step-by-step.

### Problem (a)
A school has an enrollment of 8000 boys and 4528 girls. How many more boys are there on rolls of the school?

1. The number of boys in the school = 8000.
2. The number of girls in the school = 4528.
3. To find how many more boys there are, subtract the number of girls from the number of boys.

[tex]\[ \text{More boys} = \text{Number of boys} - \text{Number of girls} \][/tex]
[tex]\[ \text{More boys} = 8000 - 4528 \][/tex]

There are 3472 more boys than girls in the school.
[tex]\[ \text{Ans} = 3472 \][/tex]

### Problem (b)
A kitchenware costs ₹8,940 and a juicer costs ₹6,784. Priya has ₹35,000 with her. After buying both these items, how much money is left with her?

1. Initial amount of money Priya has = ₹35,000.
2. Cost of kitchenware = ₹8,940.
3. Cost of juicer = ₹6,784.
4. Total cost of both items = Cost of kitchenware + Cost of juicer.
[tex]\[ \text{Total cost} = 8940 + 6784 \][/tex]
[tex]\[ \text{Total cost} = 15724 \][/tex]

5. Money left after purchase = Initial amount of money - Total cost.
[tex]\[ \text{Money left} = 35000 - 15724 \][/tex]

Priya has ₹19,276 left after buying the kitchenware and the juicer.
[tex]\[ \text{Ans} = 19276 \][/tex]

### Problem (c)
In an election, 82,743 votes were found valid, 5482 votes were found invalid, and 8948 persons did not come to vote. How many votes were registered in all?

1. The number of valid votes = 82,743.
2. The number of invalid votes = 5482.
3. The number of non-voters = 8948.
4. To find the total number of votes registered, add the valid votes, invalid votes, and non-voters.

[tex]\[ \text{Total votes registered} = \text{Valid votes} + \text{Invalid votes} + \text{Non-voters} \][/tex]
[tex]\[ \text{Total votes registered} = 82743 + 5482 + 8948 \][/tex]

The total number of votes registered in the election is 97,173.
[tex]\[ \text{Ans} = 97173 \][/tex]

These are the detailed solutions for the given word problems:
- (a) 3472 more boys
- (b) ₹19276 left
- (c) 97,173 votes registered