Multistep Fractions Word Problem

Multistep fraction problems can be challenging but are essential for developing strong mathematical skills. Consider this example: You have 20 jelly beans, and only 4 are red. The question posed is how many red jelly beans Bob should add so that half of the jelly beans are red. To solve this, you need to set up an equation based on fractions. Start with the total jelly beans plus the unknown number of red jelly beans (let's call it x). This leads to the equation: (4 + x) / (20 + x) = 1/2. Solving for x involves multiplying through to eliminate the fraction, giving you 2(4 + x) = 20 + x. Simplify and solve to find x = 12. Thus, Bob needs to add 12 red jelly beans to achieve the desired ratio. Problems like these are not only found in textbooks but can also be applied in real-life situations, making understanding fractions crucial for effective problem-solving.