Question

Two examination officials were told examine sheets of 2 schools: A and B. School A had less number of students, so total number of answer sheets in school B were 400 more than total number of answer sheets in school A. Official in school A examined 20 answer sheets per day. Official in school B examined 25 answer sheets per day and therefore, he took 12 days less than than days used by official in school A, to complete the work. You have to tell the total number answer sheets checked by official in school A. 2800​

Answer 1

Step-by-step explanation:

2800

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Answer 2

Time -work problem

Given:

No. of answer sheets in school A is less than school B by 400.

Time taken by officials to check answer sheets is 12 days less in B than that in A.

Official checks 20 sheets/day in school A and 25 sheets/day in school B.  

To find:

Total number of answer sheet checked in school A.

Explanation:

Let the number of answer sheets in school A be $x$.

So, the number of answer sheets in school B be $(x+400)$.

Number of sheets checked by officials in class A is $20 sheet/day$.

Number of sheets checked by officials in class B is $25 sheet/day$.

Let the number of days taken by official in school A be $d$ days.

Let the number of days taken by official in school B be $(d-12)$ days.

According to question,

No. of sheet checked per day  × no. of day taken = Total no of sheets

So,

$20$ ×$d=x$    ------------------------------(i)

and

$25(d-12)=x+400$ ---------------------(ii)

On solving these equation,

Putting the value of x in (ii), we get

$25d-300=20d+400$

$5d= 700\\d=140 days$

So,

$x= 140$ × $20$

$x=2800$

Hence, total number of answer sheets in school A is 2800.