A class has 49 students. The ratio of boys to girls is 5:2. If x girls join the class, what is the new ratio of boys to girls?

April 10, 2026Mathematics

ScanSolve AI Answer

April 10, 2026

Answer

7$.

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Question 15: Step 1: Calculate the initial number of boys and girls. The total number of students is 49. The initial ratio of boys to girls is $5:2$ . The total parts in the ratio are $5 + 2 = 7$ . Number of boys = $\frac{5}{7} \times 49 = 5 \times 7 = 35$ boys. Number of girls = $\frac{2}{7} \times 49 = 2 \times 7 = 14$ girls.

Step 2: Set up the new ratio with the additional girls. Let $x$ be the number of girls required to join.

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Here's the solution to your questions. Question 15: Step 1: Calculate the initial number of boys and girls.

Asked on April 10, 2026Mathematics

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.

ScanSolve AI AnswerAnswered on April 10, 2026

Here's the solution to your questions. Question 15: Step 1: Calculate the initial number of boys and girls. The total number of students is 49. The initial ratio of boys to girls is 5:2. The total parts in the ratio are 5 + 2 = 7. Number of boys = (5)/(7) × 49 = 5 × 7 = 35 boys. Number of girls = (2)/(7) × 49 = 2 × 7 = 14 girls. Step 2: Set up the new ratio with the additional girls. Let x be the number of girls required to join.