1. Two math-loving friends, Alex and Sam, tackle real-life problems with linear equations, discovering their potential and building a lasting partnership.
2. : In a world where numbers come alive, a young girl discovers she has the ability to commun...
Once upon a time in the bustling city of Numeropolis, two young mathematicians, Alex and Sam, embarked on a journey that would forever change their lives. They were both passionate about mathematics and were eager to explore its applications in the real world.
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Alex and Sam were classmates and good friends since their early days in school. As they progressed in their studies, they encountered the intriguing world of linear equations with two variables. Little did they know that this concept would soon play a significant role in their lives.
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One day, their math teacher, Mr. Robinson, challenged the class with a real-life problem: "You have two jars, one filled with red marbles and the other with blue marbles. The total number of marbles in both jars is 50. The ratio of red to blue marbles is 3:2. Can you find the number of red and blue marbles in each jar?"
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Alex and Sam were determined to solve the problem. They set up two variables: let 'x' represent the number of red marbles and 'y' represent the number of blue marbles. They translated the given information into mathematical expressions:
The total number of marbles: x + y = 50 The ratio of red to blue marbles: x/y = 3/2 With the system of equations in place, they decided to use the substitution method. From the second equation, they could express 'x' in terms of 'y':
x = (3/2)y
Now, they substituted this expression for 'x' in the first equation:
