Real-World Examples of Equivalent Ratios in Daily Life

📚 Quick Study Guide

• 🔢 Ratio Definition: A ratio compares two quantities. It can be written as $a:b$, $\frac{a}{b}$, or $a$ to $b$.
• ⚖️ Equivalent Ratios: Equivalent ratios are two or more ratios that are equal to each other. They represent the same relationship between quantities. For example, $1:2$ and $2:4$ are equivalent ratios.
• ➗ Finding Equivalent Ratios: You can find equivalent ratios by multiplying or dividing both parts of the ratio by the same non-zero number.
• 💡 Cross Multiplication: To check if two ratios are equivalent, you can use cross multiplication. If $a:b$ and $c:d$ are equivalent, then $ad = bc$.

🧪 Practice Quiz

1. Question 1: A recipe calls for 2 cups of flour and 3 eggs. If you want to double the recipe, what is the equivalent ratio of flour to eggs?
   1. 1:1.5
   2. 4:6
   3. 2:6
   4. 4:3
2. Question 2: You are mixing paint. The ratio of blue to yellow paint is 1:3. If you use 4 parts of blue paint, how many parts of yellow paint do you need to maintain the equivalent ratio?
   1. 7
   2. 12
   3. 9
   4. 4
3. Question 3: At a school, the ratio of teachers to students is 1:15. If there are 600 students, how many teachers are there?
   1. 20
   2. 30
   3. 40
   4. 50
4. Question 4: A map has a scale of 1 inch = 50 miles. If two cities are 3 inches apart on the map, what is the actual distance between them?
   1. 100 miles
   2. 150 miles
   3. 200 miles
   4. 250 miles
5. Question 5: You are making a fruit salad. The ratio of apples to oranges is 2:5. If you use 8 apples, how many oranges do you need?
   1. 10
   2. 15
   3. 20
   4. 25
6. Question 6: A store sells coffee at a ratio of 3 parts Arabica beans to 2 parts Robusta beans. If a customer wants 500g of coffee, how many grams of Arabica beans are needed?
   1. 100g
   2. 200g
   3. 300g
   4. 400g
7. Question 7: A photograph is 4 inches wide and 6 inches long. If you want to enlarge it so that the width is 12 inches, what will be the new length to maintain the same ratio?
   1. 8 inches
   2. 12 inches
   3. 16 inches
   4. 18 inches