Answer:
In total, 1130 people applied in the University.
Step-by-step explanation:
Total applicants admitted = 256
Let the number of females who applied in University = k
So, the number of males who applied = ( k + 70)
Now, 20 %of females are admitted ⇒ 20% of (k) is admitted
or, the number of females admitted in university = [tex]\frac{20}{100} \times k = 0.2k[/tex]
Also , 25 %of males are admitted ⇒ 25% of (k + 70) is admitted
or, the number of males admitted in university = [tex]\frac{25}{100} \times (k+70) = 0.25(k+70)[/tex]
So, according to the question:
0.20k + 0.25(k+70) = Total admissions = 256
or, 0.2k + 0.25k + 17.5 = 256
⇒0.45k = 238.5
or, k = 238.5/0.45 = 530
Hence, total number of females who applied = 530
And Total males who applies = ( k + 70) = 600
Now, TOTAL Applications = MALE applications + FEMALE applications
= 530 + 600 = 1130
Hence, in total 1130 people applied in the University.
