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:
[tex]\rightarrow 35 \% \text{ of } 3560\\\\\rightarrow 35 \% \times 3560\\\\\rightarrow \frac{35}{100} \times 3560\\\\\rightarrow 0.35 \times 3560 = 1246[/tex]
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
[tex]\frac{40}{100} \times x = 3560\\\\0.4 \times x = 3560\\\\0.4x = 3560\\\\x = \frac{3560}{0.4}\\\\x = 8900[/tex]
Thus the university received 8900 applications in all
