This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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multipleQuestions newQuestion Find the number of boys and the number of girls in the class. newAnswer There are 25 boys and 20 girls in the class. Steps: 1. Define variables: Let B = number of boys Let G = number of girls 2. Formulate equations from the given information: "the number of learners in a class is 45" translates to: B + G = 45 (Equation 1) "when the number of girls is subtracted from the number of boys the difference is five" translates to: B - G = 5 (Equation 2) 3. Solve the system of equations: Add Equation 1 and Equation 2: (B + G) + (B - G) = 45 + 5 2B = 50 B = 50 / 2 B = 25 4. Substitute the value of B into Equation 1 to find G: 25 + G = 45 G = 45 - 25 G = 20 Therefore, there are 25 boys and 20 girls in the class.