Question

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. If there are 60 students who wear glasses, how many students are in the grade.

Answer 1

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.

Answer 2

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.

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = 60$

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.

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = ?$

Let us calculate the number of students who do not wear glasses.

$\boxed{ \ = \frac{4}{5} \times 60 \ }$

We crossed out 5 and 60.

$\boxed{ \ = 4 \times 12 \ }$

$\boxed{\boxed{ \ 48 \ }}$

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.

$\boxed{\boxed{ \ 60 + 48 = 108 \ students \ }}$

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