Question

If there are a total of 29 students and Lee has 1.9 times the students that Fred has, how many students are in each class? a) 10 students in Lee's class and 19 students in Fred's class.

b) 12 students in Lee's class and 17 students in Fred's class.
c) 15 students in Lee's class and 14 students in Fred's class.
d) 14 students in Lee's class and 15 students in Fred's class.

Answer 1

To find out how many students are in each class, set up a system of equations with the given ratios and solve for each variable. Upon solving, Lee has 19 students in his class and Fred has 10 students(option a).

Step-by-step explanation:

The question asks us to determine the number of students in Lee's class and Fred's class based on the information that Lee has 1.9 times the number of students that Fred has, and the total number of students combined is 29. Let's call the number of students in Fred's class F and the number in Lee's class L. Therefore, based on the given information, you can set up the following system of equations:

• L = 1.9F
• L + F = 29

To solve for F, you can substitute L from the first equation into the second:

1. 1.9F + F = 29
2. 2.9F = 29
3. F = 29 / 2.9
4. F = 10

Since Fred has 10 students, Lee would have 1.9 times 10:

L = 1.9 x 10 = 19

Therefore, the correct answer is Lee has 19 students in his class and Fred has 10 students.