Question

Last year a state university received 3,560 applications from boys. Of those applications, 35% were from boys who lived in other states. A. How many applications did the university receive from boys who lived in other states? B. Applications to the university from boys represented 40% of all applications. How many applications did the university receive in all?

Answer 1

A) 1246 applications were received from boys who lived in other state

B) The university received 8900 applications in all

Solution:

Given that Last year a state university received 3,560 applications from boys

Of those applications, 35% were from boys who lived in other states

Total applications received = 3560

A. How many applications did the university receive from boys who lived in other states?

Out of 3560 applications, 35% were from boys who lived in other states

Therefore, number of applications received from boys who lived in other state is given as:

`\rightarrow 35 \% \text{ of } 3560\\\\\rightarrow 35 \% * 3560\\\\\rightarrow (35)/(100) * 3560\\\\\rightarrow 0.35 * 3560 = 1246`

Thus 1246 applications were received from boys who lived in other state

B. Applications to the university from boys represented 40% of all applications. How many applications did the university receive in all?

Let "x" be the number of all applications received

40 % of all applications = applications from boys

40 % of x = 3560

`(40)/(100) * x = 3560\\\\0.4 * x = 3560\\\\0.4x = 3560\\\\x = (3560)/(0.4)\\\\x = 8900`

Thus the university received 8900 applications in all