Answer:
The university received 8750 applications last year
Step-by-step explanation:
Last year, a state university received 3,500 application from boys and these applications represented 40% of all applications.
If the total number of applications they received is represented as T, we have that:
40% of T = 3,500
=> [tex]\frac{40}{100} * T = 3500[/tex]
Cross-multiplying and simplifying:
[tex]T = \frac{3500 * 100}{40}\\\\T = 8750[/tex]
The university received 8750 applications last year.