Question

At the Grassy Meadows Mennonite School, the total number of students in grade 7-9 is the lowest commom multiple of the numbers of students in grades 8 and 9 . Eight grade has 5 students, ninth grade has 3 students. how many students are in seventh grade?

please help

Answer 1

Seven

Explanation:

Let G7, G8, and G9 be the numbers of students in the respective grades.

Then, G7 + G8 + G9 = LCM of G8 and G9

Data:

G8 = 5

G9 = 3

Calculations:

Multiples of 5: 1 2 10 15

Multiples of 3: 1 3 6 9 15

The LCM of 5 and 3 is 15.

G7 + 5 + 3 = 15 Combine like terms

G7 + 8 = 15 Subtract 8 from each side

G7 = 7

There are seven students in Grade 7.