Question

A school party consisting of 2 teacher and 45 boys went on tour the total expenditure of your was 5050 ,evry teacher paid rs 250 evry junior boy paid rs 90 and every senior boy paid rs 110 find number of junior boys in party

Answer 1

Answer:

Let's call the number of juniors j and the number of seniors s. We know there were 45 boys, so

j + s = 45

We also know the total expenditure was 5050. This can be broken up:

(total expenditure) = (amount paid by teachers) + (amount paid by juniors) + (amount paid by seniors)

The amount paid by teachers is 2 * 250 = 500, the amount paid by juniors is 90j, and the amount paid by seniors is 110s. Putting this all together gives

5050 = 500 + 90j + 110s

or

90j + 110s = 4550

Since we also know j + s = 45, we have a system of two equations and two unknowns. Multiplying j + s = 45 by 90 gives

90j + 90s = 4050

Subtracting this from 90j + 110s = 4550 gives 20s = 500, or s = 25. Plugging back into s + j = 45 gives j = 20. Therefore, there were 20 juniors and 25 seniors.

We can plug the numbers back in to check. There are 20 + 25 = 45 boys, and the total expenditure is

(250)(2) + (90)(20) + (110)(25) = 5050

So everything works out.

Answer 2

Answer:

20

Step-by-step explanation:

Let's call the number of juniors j and the number of seniors s. We know there were 45 boys, so

j + s = 45

We also know the total expenditure was 5050. This can be broken up:

(total expenditure) = (amount paid by teachers) + (amount paid by juniors) + (amount paid by seniors)

The amount paid by teachers is 2 * 250 = 500, the amount paid by juniors is 90j, and the amount paid by seniors is 110s. Putting this all together gives

5050 = 500 + 90j + 110s

or

90j + 110s = 4550

Since we also know j + s = 45, we have a system of two equations and two unknowns. Multiplying j + s = 45 by 90 gives

90j + 90s = 4050

Subtracting this from 90j + 110s = 4550 gives 20s = 500, or s = 25. Plugging back into s + j = 45 gives j = 20. Therefore, there were 20 juniors and 25 seniors.

We can plug the numbers back in to check. There are 20 + 25 = 45 boys, and the total expenditure is

(250)(2) + (90)(20) + (110)(25) = 5050