Question

Laura is 12 years old, which is 6/7 of her brother's age. how old is laura's brother?

Answer 1

Laura's brother's age is found by setting up a proportion based on the information that Laura's age (12 years) is 6/7 of her brother's age. Solving this proportion shows that her brother is 14 years old.

Step-by-step explanation:

The student's question is asking us to determine the age of Laura's brother. Laura is 12 years old, which is given as 6/7 of her brother's age. To find her brother's age, we need to set up a proportion and solve for his age.

Step-by-Step Solution

1. Let's denote her brother's age as x years.
2. According to the problem, 6/7 of her brother's age is equal to Laura's age, so we can write the equation (6/7) * x = 12.
3. To find x, we need to divide both sides of the equation by 6/7. The equation then becomes x = 12 /(6/7).
4. When we divide by a fraction, it is equivalent to multiplying by its reciprocal. So the equation simplifies to x = 12 * (7/6).
5. Multiply 12 by 7/6 to get x = 14. Therefore, Laura's brother is 14 years old.