1. **Problem:** Convert 3 ½ pounds to ounces.
Given: 1 pound = 16 ounces (U.S. system)
Formula: $\text{ounces} = \text{pounds} \times 16$
Calculation:
$$3.5 \times 16 = 56$$
Answer: 3 ½ lb = 56 oz.
2. **Problem:** Convert 6 cups to pints.
Given: 1 pint = 2 cups
Formula: $\text{pints} = \frac{\text{cups}}{2}$
Calculation:
$$\frac{6}{2} = 3$$
Answer: 6 cups = 3 pt.
3. **Problem:** Convert ¾ cup to tablespoons.
Given: 1 cup = 16 tablespoons
Formula: $\text{tablespoons} = \text{cups} \times 16$
Calculation:
$$\frac{3}{4} \times 16 = 12$$
Answer: ¾ cup = 12 Tbsp.
4. **Problem:** Convert 46 ounces to pounds.
Given: 1 pound = 16 ounces
Formula: $\text{pounds} = \frac{\text{ounces}}{16}$
Calculation:
$$\frac{46}{16} = \cancel{\frac{46}{\cancel{16}}} = 2.875$$
Answer: 46 oz = 2.875 lb.
5. **Problem:** Convert 1.4 kilograms to grams.
Given: 1 kilogram = 1000 grams
Formula: $\text{grams} = \text{kilograms} \times 1000$
Calculation:
$$1.4 \times 1000 = 1400$$
Answer: 1.4 kg = 1400 g.
6. **Problem:** Convert 2500 grams to kilograms.
Given: 1 kilogram = 1000 grams
Formula: $\text{kilograms} = \frac{\text{grams}}{1000}$
Calculation:
$$\frac{2500}{1000} = 2.5$$
Answer: 2500 g = 2.5 kg.
7. **Problem:** Convert 160 °C to Fahrenheit.
Formula: $F = \frac{9}{5}C + 32$
Calculation:
$$160 \times \frac{9}{5} = 288$$
$$288 + 32 = 320$$
Answer: 160 °C = 320 °F.
8. **Problem:** Convert 200 °C to Fahrenheit.
Calculation:
$$200 \times \frac{9}{5} = 360$$
$$360 + 32 = 392$$
Answer: 200 °C = 392 °F.
9. **Problem:** Convert 375 °F to Celsius.
Formula: $C = \frac{5}{9}(F - 32)$
Calculation:
$$375 - 32 = 343$$
$$343 \times \frac{5}{9} = 190.56$$
Answer: 375 °F = 190.56 °C.
10. **Problem:** Convert 425 °F to Celsius.
Calculation:
$$425 - 32 = 393$$
$$393 \times \frac{5}{9} = 218.33$$
Answer: 425 °F = 218.33 °C.
**Test IEST II: Weight Conversions**
1. Convert 12 ounces to grams.
Given: 1 oz = 28.35 g
Calculation:
$$12 \times 28.35 = 340.2$$
Answer: A. 340.2 g
2. Convert 150 grams to ounces.
Given: 1 g = 0.035 oz
Calculation:
$$150 \times 0.035 = 5.25$$
Answer: A. 5.25 oz
3. Convert 2 pounds to grams.
Given: 1 lb = 454 g
Calculation:
$$2 \times 454 = 908$$
Answer: B. 908 g
Unit Conversions 3Ce921
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