Solving Ratio Problems — Solutions

1. Foundation: Writing Ratios

   1. Apples : Oranges: 8 : 12 ▶ View Solution
   2. Oranges : Apples: 12 : 8 ▶ View Solution
   3. Apples : Total: 8 : 20 ▶ View Solution
   4. Fraction of apples: 25 ▶ View Solution
   5. Fraction of oranges: 35 ▶ View Solution
   6. Simplified ratio: 2 : 3 ▶ View Solution

2. Foundation: Simplifying Ratios

   1. 1 : 3 ▶ View Solution
   2. 2 : 3 ▶ View Solution
   3. 2 : 3 ▶ View Solution
   4. 9 : 2 ▶ View Solution
   5. 2 : 5 ▶ View Solution
   6. 2 : 7 ▶ View Solution

3. Foundation: Units and Ratios

   1. 20 cm : 1 m: 1 : 5 ▶ View Solution
   2. 500 g : 2 kg: 1 : 4 ▶ View Solution
   3. 30 min : 2 hours: 1 : 4 ▶ View Solution
   4. 40c : $2: 1 : 5 ▶ View Solution
   5. 250 mL : 1 L: 1 : 4 ▶ View Solution
   6. 15 mm : 30 mm: 1 : 2 ▶ View Solution

4. Foundation: Equivalent Ratios

   1. x = 12 ▶ View Solution
   2. x = 25 ▶ View Solution
   3. x = 9 ▶ View Solution
   4. x = 3 ▶ View Solution
   5. x = 4 ▶ View Solution
   6. x = 10 ▶ View Solution

5. Foundation: Equivalent Verification

   1. Yes ▶ View Solution
   2. No ▶ View Solution
   3. Yes ▶ View Solution
   4. Yes ▶ View Solution
   5. Yes ▶ View Solution
   6. No ▶ View Solution

6. Foundation: Multi-part Ratios

   1. 1 : 2 : 3 ▶ View Solution
   2. 1 : 2 : 5 ▶ View Solution
   3. 2 : 3 : 4 ▶ View Solution
   4. 1 : 3 : 5 ▶ View Solution
   5. 1 : 2 : 4 ▶ View Solution
   6. 3 : 2 : 1 ▶ View Solution

7. Worded Problem: Mixing Cordial

   1. Total parts: 9 parts ▶ View Solution
   2. Water for 500 mL cordial: 1 750 mL ▶ View Solution
   3. Cordial for 1 800 mL total: 400 mL ▶ View Solution
   4. Cordial for 14 scoops water: 4 scoops ▶ View Solution

8. Worded Problem: Sharing Money

   1. Total shares: 7 shares ▶ View Solution
   2. Value per share: $600 ▶ View Solution
   3. Jenna’s amount: $3 000 ▶ View Solution
   4. Jenna’s amount if Jamie gets $1 256: $3 140 ▶ View Solution

9. Worded Problem: Construction & Recipes

   1. Sand for 12 L cement: 8 L sand ▶ View Solution
   2. Flour for 1 400 g sugar: 1 200 g flour ▶ View Solution
   3. Sand and cement from 20 kg total: 15 kg sand, 5 kg cement ▶ View Solution

10. Worded Problem: Populations

    1. Total children (boys : girls = 9 : 11, 99 boys): 220 children ▶ View Solution
    2. Peppermint : Non-peppermint (40 and 160): 1 : 4 ▶ View Solution
    3. Total people (1 teacher per 25 students, 20 teachers): 520 people ▶ View Solution