Three-fourths of the students in honors algebra are 8th graders. There are 21 8th graders in honors algebra. How many total students are in honors algebra?

To find the total number of students in honors algebra, we can use the information given that three-fourths or 75% of the class are 8th graders. If there are 21 8th graders which represent three-fourths of the class, we want to find out what is the full (100%) class size.
To calculate this, we can set up a proportion where the part (three-fourths) over the whole is equal to the number of 8th graders (21) over the total number of students (which is unknown and we'll call 'x'). The proportion looks like this:
(3/4) / x = 21 / x
To find 'x' we can use cross multiplication:
3x = 4 * 21
Then divide both sides by 3 to calculate 'x':
x = (4 * 21) / 3
Calculating this gives us:
x = 84 / 3
So 'x' equals 28.
Therefore, there are a total of 28 students in honors algebra.

Answered by EzraMatthewMiller | 2024-06-24

The total number of students in honors algebra is 28. This is found by setting up the equation where three-fourths of the total students equals 21, leading to the calculation x = 28 . Thus, the honors algebra class has 28 students in total.
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Answered by EzraMatthewMiller | 2024-12-16