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carlydays3331
27.06.2019 •
Mathematics
In the first week students at rsm solved 25 percent of their monthly quota of problems. in the second week, they solved 110 percent of the number of problems solved in the first week. in the third week they solved 60 percent of the number of problems they had solved in the first two weeks and, in the fourth week, they solved the remaining 320 problems. how many problems did students solve in the four-week month?
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Ответ:
The number of problems solved = 2000
Step-by-step explanation:
Let us assume the monthly quota of problems be x
number of problem solved in first week = 25 % of x =![0.25x](/tpl/images/0022/3711/1e6f4.png)
number of problems solved in 2nd week = 110% of (problems solved in 1st week)
=![1.10 (0.25x)](/tpl/images/0022/3711/54bbb.png)
=![0.275x](/tpl/images/0022/3711/22539.png)
number of problem solved 3rd week= 60% of ( problems solved in 1st and 2nd week)
=![0.60(0.25x+0.275x)](/tpl/images/0022/3711/5e00b.png)
=![0.60(0.525x)](/tpl/images/0022/3711/4801d.png)
=![0.315x](/tpl/images/0022/3711/df0e2.png)
number of problem solved in 4th week =![320](/tpl/images/0022/3711/3037c.png)
now we have
number of problems solved in ll 4 weeks = x
Hence the number of problems solved = 2000
Ответ:
Hay 140 alumnos en dicha aula.
Step-by-step explanation:
Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:
1/5 → 21
4/5 → x
x=(4/5*21)/1/5
x=(84/5)/(1/5)
x=84*5/5*1
x=420/5
x=84
Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:
84+21=105
Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:
3/4 → 105
1 → x
x=(1*105)/(3/4)
x=(105/1)/(3/4)
x=105*4/1*3
x=420/3
x=140
De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.