Question

The School principal determined that 1/4 of the original student school desks would need to be replaced this year 50 teachers would also receive new, improved desks. A total of 295 student and teacher desks were purchased. How many original student desks were there before the purchase was made?

Answer 1

The number of original students desks were there in school before purchase was made is 980 .

Explanation:

Given as :

The total number of new desks purchased including teacher and students = 295

The number of new desks purchased for students =
`(1)/(4)` of original students desks available

The number of new desks purchased for teachers = 50

Let The number of original students desks available before purchase = S

Now, According to question

∵ The total number of new desks purchased including teacher and students = 295

I.e The number of new desks purchased for students + The number of new desks purchased for teachers = 295

Or,
`(1)/(4)` of S + 50 = 295

Or,
`(1)/(4)` × S = 295 - 50

Or ,
`(1)/(4)` × S = 245

∴ S = 245 × 4 = 980

So, original desks available for students = S = 980

Hence The number of original students desks were there in school before purchase was made is 980 . Answer