Equivalent Ratios — Solutions

1. The Ratio Table

   1. 12 ▶ View Solution
   2. 16 ▶ View Solution
   3. 5 ▶ View Solution
   4. 40 ▶ View Solution

2. Identifying the Multiplier

   1. ×3 ▶ View Solution
   2. ×7 ▶ View Solution
   3. ÷4 ▶ View Solution
   4. ×10 ▶ View Solution

3. Completing the Series

   1. 1 : 2 = 2 : 4 = 5 : 10 = 10 : 20 ▶ View Solution
   2. 3 : 4 = 6 : 8 = 9 : 12 = 30 : 40 ▶ View Solution
   3. 10 : 5 = 2 : 1 = 20 : 10 = 100 : 50 ▶ View Solution
   4. 7 : 3 = 14 : 6 = 21 : 9 = 70 : 30 ▶ View Solution

4. True or False Mastery

   1. True ▶ View Solution
   2. False ▶ View Solution
   3. True ▶ View Solution
   4. False ▶ View Solution

5. Finding the Unknown

   1. x = 15 ▶ View Solution
   2. y = 30 ▶ View Solution
   3. a = 3 ▶ View Solution
   4. b = 1 ▶ View Solution

6. Tropical Punch Recipe

   1. Simplified ratio: 2 : 5 ▶ View Solution
   2. Double recipe — lemonade: 1 000 mL (1 L) ▶ View Solution
   3. 1 000 mL OJ — lemonade needed: 2 500 mL (2.5 L) ▶ View Solution
   4. Ratio in the larger batch: 1 000 : 2 500 ▶ View Solution

7. Weed Killer Mixture

   1. Ratio (mL concentrate : mL water): 15 : 1 000 ▶ View Solution
   2. 3 L water — concentrate: 45 mL ▶ View Solution
   3. 10 L water — concentrate: 150 mL ▶ View Solution
   4. 45 mL concentrate — water: 3 L ▶ View Solution

8. Units and Ratios

   1. $1 : $5 equivalent to 20c : $1? True ▶ View Solution
   2. $2 : $10 equivalent to 20c : 100c? True ▶ View Solution
   3. 500 mL : 1 L equivalent to 1 : 2? True ▶ View Solution
   4. 1 min : 60 sec ratio? True — the ratio is 1 : 1 ▶ View Solution

9. School Proportions

   1. Girls if 8 boys: 10 girls ▶ View Solution
   2. Boys if 25 girls: 20 boys ▶ View Solution
   3. Total parts: 9 parts ▶ View Solution
   4. Boys in 90 students: 40 boys ▶ View Solution

10. Challenge: Triple Ratios

    1. 2 : 4 : 10 ▶ View Solution
    2. 15 : 5 : 20 ▶ View Solution
    3. 1 : 2 : 3 ▶ View Solution
    4. 4 : 8 : 12 ▶ View Solution