Question

There are 3 times as many Grade 6 students as Grade 2 students in Park Lane Elementary School. The ratio of the number of Grade 2 students to that of Grade 4 students is 1:4. There are 112 Grade 4 and Grade 6 students altogether. Find the number of Grade 4 students.

A) 32 Grade 4 students
B) 40 Grade 4 students
C) 48 Grade 4 students
D) 56 Grade 4 students

Answer 1

To find the number of Grade 4 students in Park Lane Elementary School, set up equations based on the given information. The number of Grade 4 students is 64.

Step-by-step explanation:

To find the number of Grade 4 students in Park Lane Elementary School, we need to set up equations based on the given information. Let's first represent the number of Grade 2 students as x. Since there are 3 times as many Grade 6 students as Grade 2 students, the number of Grade 6 students would be 3x.

The ratio of the number of Grade 2 students to Grade 4 students is 1:4. Therefore, the number of Grade 4 students would be 4x.

We are also told that the total number of Grade 4 and Grade 6 students is 112. So, we can set up the following equation: 4x + 3x = 112.

Combining like terms, we get 7x = 112. Dividing both sides of the equation by 7, we find that x = 16. Therefore, the number of Grade 4 students is 4x = 4 * 16 = 64.

Therefore, the number of Grade 4 students in Park Lane Elementary School is 64.