The image presents a series of unit conversion problems: a) Convert 25 gallons to pints. b) Convert 20 weeks to days. c) Calculate the distance in feet a leprechaun covers in 20 minutes at a speed of 2 miles per hour. d) Convert 1,612,742 grams to kilograms. e) Convert 3 grams, 7 decigrams, 5 centigrams, and 8 milligrams to milligrams. f) Convert 8 cups to fluid ounces.

1. Problem Description

The image presents a series of unit conversion problems:

a) Convert 25 gallons to pints.

b) Convert 20 weeks to days.

c) Calculate the distance in feet a leprechaun covers in 20 minutes at a speed of 2 miles per hour.

d) Convert 1,612,742 grams to kilograms.

e) Convert 3 grams, 7 decigrams, 5 centigrams, and 8 milligrams to milligrams.

f) Convert 8 cups to fluid ounces.

2. Solution Steps

a) Convert gallons to pints:

1 gallon = 8 pints

$25 \text{ gallons} = 25 \times 8 \text{ pints} = 200 \text{ pints}$

b) Convert weeks to days:

1 week = 7 days

$20 \text{ weeks} = 20 \times 7 \text{ days} = 140 \text{ days}$

c) Calculate the distance in feet:

Speed = 2 miles per hour

Time = 20 minutes = $\frac{20}{60}$ hours = $\frac{1}{3}$ hour

Distance = Speed $\times$ Time

Distance = $2 \text{ miles/hour} \times \frac{1}{3} \text{ hour} = \frac{2}{3} \text{ miles}$

1 mile = 5280 feet

Distance = $\frac{2}{3} \text{ miles} \times 5280 \text{ feet/mile} = \frac{2 \times 5280}{3} \text{ feet} = \frac{10560}{3} \text{ feet} = 3520 \text{ feet}$

d) Convert grams to kilograms:

1 kilogram = 1000 grams

$1,612,742 \text{ grams} = \frac{1,612,742}{1000} \text{ kilograms} = 1612.742 \text{ kilograms}$

e) Convert grams, decigrams, centigrams, and milligrams to milligrams:

1 gram = 1000 milligrams

1 decigram = 100 milligrams

1 centigram = 10 milligrams

$3 \text{ grams} = 3 \times 1000 \text{ milligrams} = 3000 \text{ milligrams}$

$7 \text{ decigrams} = 7 \times 100 \text{ milligrams} = 700 \text{ milligrams}$

$5 \text{ centigrams} = 5 \times 10 \text{ milligrams} = 50 \text{ milligrams}$

$8 \text{ milligrams} = 8 \text{ milligrams}$

Total milligrams = $3000 + 700 + 50 + 8 = 3758 \text{ milligrams}$

f) Convert cups to fluid ounces:

1 cup = 8 fluid ounces

$8 \text{ cups} = 8 \times 8 \text{ fluid ounces} = 64 \text{ fluid ounces}$

3. Final Answer

a) 200 pt

b) 140 days

c) 3520 ft

d) 1612.742 kg

e) 3758 mg

f) 64 fl oz