Respuesta :
Given:
4/5 as many students who do not wear glasses as those who wear glasses.
60 students wear glasses.
Find the total number of students in the grade.
60 * 4/5 = (60 * 4)/5 = 240 / 5 = 48 students who do not wear glasses.
60 w/ glasses + 48 w/o glasses = 108 total number of students.
4/5 as many students who do not wear glasses as those who wear glasses.
60 students wear glasses.
Find the total number of students in the grade.
60 * 4/5 = (60 * 4)/5 = 240 / 5 = 48 students who do not wear glasses.
60 w/ glasses + 48 w/o glasses = 108 total number of students.
108 students
Further explanation
Given:
In the fifth grade at Lenape Elementary School,
- there are ⁴/₅ as many students who do not wear glasses as those who do wear glasses;
- there are 60 students who wear glasses.
Question:
How many students are in the grade?
The Process:
Let us prepare a model for students who wear glasses.
[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = 60[/tex]
Then we make a model for students who do not wear glasses. As we know above, there are ⁴/₅ as many students who do not wear glasses as those who do wear glasses.
[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = ?[/tex]
Let us calculate the number of students who do not wear glasses.
[tex]\boxed{ \ = \frac{4}{5} \times 60 \ }[/tex]
We crossed out 5 and 60.
[tex]\boxed{ \ = 4 \times 12 \ }[/tex]
[tex]\boxed{\boxed{ \ 48 \ }}[/tex]
Finally, let's add up the number of students who wear glasses and do not wear glasses to find out how many students are in the grade.
[tex]\boxed{\boxed{ \ 60 + 48 = 108 \ students \ }}[/tex]
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