There are 47 boys in the class. This is three more than four times the number of girls. How many girls are there in the class?

Understand the Problem

The question is asking to determine the number of girls in a class where the number of boys is given as 47, and it's specified that this is three more than four times the number of girls. We will set up the equation based on this information and solve for the number of girls.

Answer

$11$

Steps to Solve

Set Up the Equation

Let the number of girls be represented by the variable $g$. According to the problem, the number of boys is given as 47, which is three more than four times the number of girls. We can express this relationship as:

$$ 47 = 4g + 3 $$

Isolate the Variable

To solve for $g$, we need to isolate it on one side of the equation. First, we will subtract 3 from both sides:

$$ 47 - 3 = 4g $$

This simplifies to:

$$ 44 = 4g $$

Solve for $g$

Next, we will divide both sides of the equation by 4 to find the number of girls:

$$ g = \frac{44}{4} $$

This simplifies to:

$$ g = 11 $$

The number of girls in the class is $11$.

More Information

This means that if there are 11 girls in the class, then according to the relation, the number of boys, which is 47, is indeed three more than four times the number of girls ($4 \times 11 + 3 = 47$).

Tips

Misinterpreting the relationship: Some may confuse the relationship between boys and girls. It's crucial to translate phrases correctly into mathematical equations.
Incorrect arithmetic: Ensure that addition and subtraction are calculated correctly when isolating the variable.

AI-generated content may contain errors. Please verify critical information

Thank you for voting!