Final answer:
The equation to find the total number of children in the fourth-grade class, where two-thirds are girls and there are 28 girls, is (2/3)x = 28. Solving for x, we find the total number of children in the class is 42.
Step-by-step explanation:
To solve the problem, let's define a variable for the unknown quantity we want to find, which is the total number of children in the fourth-grade class. Let's call this variable x. We know that two-thirds of the class are girls, and that there are 28 girls. So we can write the equation: (2/3)x = 28.
To find x, we'll multiply both sides of the equation by the reciprocal of 2/3 to isolate x on one side:
- (2/3)x * (3/2) = 28 * (3/2)
- x = 42
Therefore, the total number of children in the class is 42.