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 thepurchase was made?

Answer: The number of original students desks were there in school before purchase was made is 980 .Step-by-step explanation:Given as :The total number of new desks purchased including teacher and students = 295 The number of new desks purchased for students = [tex]\frac{1}{4}[/tex] of original students desks availableThe number of new desks purchased for teachers = 50Let The number of original students desks available before purchase = SNow, 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 = 295Or,  [tex]\frac{1}{4}[/tex] of S + 50 = 295Or,  [tex]\frac{1}{4}[/tex] × S = 295 - 50Or , [tex]\frac{1}{4}[/tex] × S = 245∴  S = 245 × 4 = 980So, original desks available for students = S = 980Hence The number of original students desks were there in school before purchase was made is 980 . Answer