28. Colin saved some money to take on vacation. He spent \( \frac{3}{4} \) of his money on souvenirs and \( \frac{1}{5} \) of his money on snacks. How much more of his money did he spend on souvenirs? 180 Lesson 93

To determine how much more of his money Colin spent on souvenirs compared to snacks, let's break down the information provided: 1. **Fraction Spent on Souvenirs:** \(\frac{3}{4}\) of his total money. 2. **Fraction Spent on Snacks:** \(\frac{1}{5}\) of his total money. 3. **Difference Between Spending on Souvenirs and Snacks:** To find out how much more he spent on souvenirs than on snacks, subtract the fraction spent on snacks from the fraction spent on souvenirs: \[ \frac{3}{4} - \frac{1}{5} \] 4. **Finding a Common Denominator:** The least common denominator (LCD) of 4 and 5 is 20. \[ \frac{3}{4} = \frac{15}{20} \quad \text{and} \quad \frac{1}{5} = \frac{4}{20} \] 5. **Subtracting the Fractions:** \[ \frac{15}{20} - \frac{4}{20} = \frac{11}{20} \] **Conclusion:** Colin spent \(\frac{11}{20}\) more of his money on souvenirs than he did on snacks. **Expressed as a percentage (optional):** \[ \frac{11}{20} = 0.55 = 55\% \] So, Colin spent **\(\frac{11}{20}\) (or 55%)** more of his money on souvenirs compared to snacks. **Answer:** He spent eleven twentieths of his money more on souvenirs than on snacks.