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QuestionFred's class has xx students. Lee's class has 1.4x1.4x students. If x+1.4x=48x + 1.4x = 48, find xx and then 1.4x1.4x.

Studdy Solution

STEP 1

Assumptions1. The total number of students in both classes is48. . Lee's class has1.4 times as many students as Fred's class.
3. The number of students in each class is a whole number.

STEP 2

Let's denote the number of students in Fred's class as F. Then, the number of students in Lee's class is1.4.

STEP 3

We can write an equation to represent the total number of students in both classes.
+1.=48 +1. =48

STEP 4

Combine like terms to simplify the equation.
2.4=482.4 =48

STEP 5

To find the number of students in Fred's class (), divide both sides of the equation by2.4.
=48/2.4 =48 /2.4

STEP 6

Calculate the value of F.
=48/2.4=20 =48 /2.4 =20Fred's class has20 students. Since we need to round to the nearest whole number, there's no need for rounding in this case.

STEP 7

Now, to find the number of students in Lee's class, we can subtract the number of students in Fred's class from the total number of students.
=Total number of students−Number of students in Fred′s class = Total\, number\, of\, students - Number\, of\, students\, in\, Fred's\, class

STEP 8

Plug in the values for the total number of students and the number of students in Fred's class to calculate the number of students in Lee's class.
=48−20 =48 -20

STEP 9

Calculate the value of L.
=48−20=28 =48 -20 =28Lee's class has28 students. Since we need to round to the nearest whole number, there's no need for rounding in this case.

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