Representing Ratios — Solutions

1. Basic Visual Ratios

   1. Blue : Green: 5 : 2 ▶ View Solution
   2. Green : Blue: 2 : 5 ▶ View Solution
   3. Blue : Total: 5 : 7 ▶ View Solution
   4. Green : Total: 2 : 7 ▶ View Solution
   5. After adding 3 blue: 8 : 2 ▶ View Solution

2. The Classroom Context

   1. Hat : No Hat: 12 : 8 ▶ View Solution
   2. No Hat : Hat: 8 : 12 ▶ View Solution
   3. Hat : Total: 12 : 20 ▶ View Solution
   4. No Hat : Total: 8 : 20 ▶ View Solution
   5. After 4 more wear hats: 16 : 8 ▶ View Solution

3. Order Awareness

   1. Sugar : Flour: 5 : 3 ▶ View Solution
   2. Which ingredient has 3 cups? Flour ▶ View Solution
   3. Flour : Total: 3 : 8 ▶ View Solution
   4. Sugar : Total: 5 : 8 ▶ View Solution
   5. After adding 1 cup sugar: 6 : 3 ▶ View Solution

4. Family Ratios

   1. Parents : Children: 2 : 4 ▶ View Solution
   2. Daughters : Total: 3 : 6 ▶ View Solution
   3. Sons : Total: 1 : 6 ▶ View Solution
   4. Children : Parents: 4 : 2 ▶ View Solution
   5. Daughters : Sons: 3 : 1 ▶ View Solution

5. School Uniforms

   1. Uniform : Casual: 7 : 3 ▶ View Solution
   2. Casual : Uniform: 3 : 7 ▶ View Solution
   3. Uniform : Total: 7 : 10 ▶ View Solution
   4. After 2 more in uniform: 9 : 3 ▶ View Solution

6. Interpreting Symbols

   1. 4 : 9 in words: “four to nine” ▶ View Solution
   2. 15 : 2 in words: “fifteen to two” ▶ View Solution
   3. 1 : 100 in words: “one to one hundred” ▶ View Solution
   4. “seven to three” in symbols: 7 : 3 ▶ View Solution

7. Real-World Comparison

   1. Yellow : Red: 10 : 14 ▶ View Solution
   2. After adding 2 yellow: 12 : 14 ▶ View Solution
   3. Red : Total: 14 : 26 ▶ View Solution
   4. Yellow needed to equal red: 2 more yellow flowers ▶ View Solution

8. Unit Awareness

   1. 50 cm : 200 cm: 50 : 200 ▶ View Solution
   2. Simplified: 5 : 20 ▶ View Solution
   3. 30 cm : 1.2 m: 30 : 120 ▶ View Solution
   4. 45 min : 3 hours: 45 : 180 ▶ View Solution

9. Consolidation: Total Parts

   1. Total parts: 8 parts ▶ View Solution
   2. Boys in 8 students: 5 boys ▶ View Solution
   3. Boys in 40 students: 25 boys ▶ View Solution
   4. Girls if 15 boys: 9 girls ▶ View Solution

10. The Science Experiment

    1. Red : Total: 2 : 7 ▶ View Solution
    2. Blue needed for 8 mL red: 20 mL blue ▶ View Solution
    3. Same shade as 2 : 5? No — 10 : 30 simplifies to 1 : 3, not 2 : 5 ▶ View Solution
    4. 35 mL total — red and blue: Red = 10 mL, Blue = 25 mL ▶ View Solution