19. Last week, a bunny weighed 15 oz . This week the bunny weighed 1 lb 2 oz . Describe the change in weight. gergio buys 4 pieces of pine. Two are 1 yd 2 ft long, and two gre 4 ft long. Use the information for Exercises $$ 20-21 $$. 20. What is the cost of the 4 pieces of pine? 21. What is Sergio's change from $$ \$ 20 $$ if there is no tax? A farmer makes 42 gallons of maple syrup. He wants to fill the same number of pint bottles and quart bottles with the syrup. Use this information for Exercises $$ 22-23 $$.

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Let's break down the problems step by step.

### Problem 19: Change in Weight of the Bunny

1. **Known Conditions:**
   - Last week's weight: $$ 15 $$ oz
   - This week's weight: $$ 1 $$ lb $$ 2 $$ oz

2. **Convert the weights to the same unit (ounces):**
   - Convert $$ 1 $$ lb to ounces: 
     $$
     1 \text{ lb} = 16 \text{ oz}
     $$
   - Therefore, this week's weight in ounces is:
     $$
     1 \text{ lb} 2 \text{ oz} = 16 \text{ oz} + 2 \text{ oz} = 18 \text{ oz}
     $$

3. **Calculate the change in weight:**
   - Change in weight:
     $$
     \text{Change} = \text{This week's weight} - \text{Last week's weight} = 18 \text{ oz} - 15 \text{ oz} = 3 \text{ oz}
     $$

### Problem 20: Cost of the 4 Pieces of Pine

1. **Known Conditions:**
   - Two pieces are $$ 1 $$ yd $$ 2 $$ ft long.
   - Two pieces are $$ 4 $$ ft long.

2. **Convert all lengths to feet:**
   - Convert $$ 1 $$ yd $$ 2 $$ ft to feet:
     $$
     1 \text{ yd} = 3 \text{ ft} \implies 1 \text{ yd} 2 \text{ ft} = 3 \text{ ft} + 2 \text{ ft} = 5 \text{ ft}
     $$
   - Therefore, the lengths of the pieces are:
     - Two pieces of $$ 5 $$ ft
     - Two pieces of $$ 4 $$ ft

3. **Calculate the total length:**
   - Total length:
     $$
     \text{Total length} = 2 \times 5 \text{ ft} + 2 \times 4 \text{ ft} = 10 \text{ ft} + 8 \text{ ft} = 18 \text{ ft}
     $$

4. **Assuming a cost per foot (let's say $$ c $$ dollars per foot), the total cost would be:**
   $$
   \text{Total cost} = 18 \text{ ft} \times c
   $$

### Problem 21: Change from $20

1. **Known Conditions:**
   - Total cost from Problem 20: $$ 18c $$
   - Amount given: $$ 20 $$

2. **Calculate the change:**
   $$
   \text{Change} = 20 - 18c
   $$

### Problem 22: Filling Bottles with Maple Syrup

1. **Known Conditions:**
   - Total syrup: $$ 42 $$ gallons
   - Pint bottle: $$ 1 $$ gallon = $$ 8 $$ pints
   - Quart bottle: $$ 1 $$ gallon = $$ 4 $$ quarts

2. **Convert gallons to pints and quarts:**
   - Total pints:
     $$
     42 \text{ gallons} \times 8 \text{ pints/gallon} = 336 \text{ pints}
     $$
   - Total quarts:
     $$
     42 \text{ gallons} \times 4 \text{ quarts/gallon} = 168 \text{ quarts}
     $$

3. **If the farmer wants to fill the same number of pint and quart bottles, let $$ x $$ be the number of bottles:**
   - Total syrup used for $$ x $$ pint bottles:
     $$
     \text{Pints used} = x \text{ pints}
     $$
   - Total syrup used for $$ x $$ quart bottles:
     $$
     \text{Quarts used} = 2x \text{ pints} \quad (\text{since } 1 \text{ quart} = 2 \text{ pints})
     $$

4. **Total syrup used:**
   $$
   x + 2x = 3x \text{ pints}
   $$
   - Set this equal to the total pints:
   $$
   3x = 336 \implies x = \frac{336}{3} = 112
   $$

### Summary of Results:
- **Change in weight of the bunny:** $$ 3 $$ oz
- **Cost of the 4 pieces of pine:** $$ 18c $$ (where $$ c $$ is the cost per foot)
- **Change from $20:** $$ 20 - 18c $$
- **Number of pint and quart bottles filled:** $$ 112 $$ each

If you need specific values for the cost or any other calculations, please provide the cost per foot for the pine.
- The bunny's weight increased by 3 ounces. - The cost of the 4 pieces of pine is $$18c$$ dollars (where $$c$$ is the cost per foot). - Sergio's change from $20 is $$20 - 18c$$ dollars. - The farmer filled 112 pint bottles and 112 quart bottles with the maple syrup.

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