Converting Units within Customary System-Gr 6-Solved Examples

Solved Examples and Worksheet for Converting Units within Customary System

Q1How many yards are equivalent to 3534 feet?
A. 121112
B. 61124
C. 111112
D. 101112

Solutions

Step: 1

3 feet = 1 yard

[Write yard in terms of feet.]

Step: 2

3534 feet = 3534 ÷ 3

[Convert feet to yard, so divide 3534 by 3.]

Step: 3

= 3534 × 13

[Multiply by 13, the reciprocal of 3.]

Step: 4

= 1434 × 13

[Convert mixed number into improper fraction.]

Step: 5

= 143 × 14 × 3 = 14312

[Multiply numerators and denominators separately.]

Step: 6

= 111112 yards

[Write the improper fraction as a mixed number.]

Step: 7

111112 yards are equivalent to 3534 feet.

Correct Answer is : 111112

Q2Joe makes 8 cups of punch daily. How many pints of punch will he make in 5 days?
A. 5 pints
B. 95 pints
C. 20 pints
D. 80 pints

Solutions

Step: 1

1 pint = 2 cups

[Write pint in terms of cups.]

Step: 2

8 cups = 82 = 4 pints.

[Convert cups to pints, so divide 8 by 2.]

Step: 3

He makes 4 pints of punch daily.

Step: 4

The quantity of punch he will make in 5 days = 4 × 5 = 20 pints.

Correct Answer is : 20 pints

Q3How many cups are in 2 gallons?

A. 16
B. 32
C. 24
D. 8

Solutions

Step: 1

Number of cups in a gallon = 16.

Step: 2

Total number of cups in 2 gallons = 2 × 16 = 32 cups.

Correct Answer is : 32

Q4How many inches make 2 ft?

A. 26 in.
B. 24 in.
C. 22 in.
D. 16 in.

Solutions

Step: 1

1 ft = 12 in.

[Write ft in terms of in.]

Step: 2

2 ft = 2 × 12 = 24 in.

[Convert ft to inches; Multiply 2 by 12.]

Step: 3

24 in. are in 2 ft.

Correct Answer is : 24 in.

Q5How many inches are there in 200 feet?
A. 2400
B. 2000
C. 16
D. 2200

Solutions

Step: 1

200 ft = 200 × 12 = 2400 in.

[Since 1 ft = 12 in., multiply 200 by 12.]

Step: 2

There are 2400 inches in 200 feet.

Correct Answer is : 2400

Q6How many pints make 2 gallons?
A. 12
B. 16
C. 18
D. 14

Solutions

Step: 1

1 gallon = 4 quarts

[Write gallon in terms of quarts.]

Step: 2

2 gallons = 2 × 4 = 8 quarts

[Convert gallons to quarts; Multiply 2 by 4.]

Step: 3

1 quart = 2 pints

[Write quart in terms of pints.]

Step: 4

8 quarts = 8 × 2 = 16 pints

[Convert quarts to pints; Multiply 8 by 2.]

Step: 5

16 pints make 2 gallons.

Correct Answer is : 16

Q7How many tons are equivalent to 20000 pounds?

A. 11
B. 9
C. 12
D. 10

Solutions

Step: 1

2000 pounds = 1 ton

[Write ton in terms of pounds.]

Step: 2

20000 pounds = 200002000 = 10 tons

[Convert pounds to tons; Divide 20000 by 2000.]

Step: 3

10 tons are equivalent to 20000 pounds.

Correct Answer is : 10

Q8How many pints are in 6000 gallons?
A. 42000
B. 54000
C. 47000
D. 48000

Solutions

Step: 1

6000 gal = 6000 x 8 = 48000 pt

[Since 1 gal = 8 pt, multiply 6000 by 8.]

Step: 2

There are 48000 pints in 6000 gallons.

Correct Answer is : 48000

Q9How many one-cup servings are there in 24 fl oz. of apple juice?

A. 5
B. 4
C. 6
D. 3

Solutions

Step: 1

24 fl oz = 248 = 3 c

[Since 8 fl oz = 1 c, divide 24 by 8.]

Step: 2

There are 3 one-cup servings in 24 fl oz. of apple juice.

Correct Answer is : 3

Q10Ed bought 3 pounds of butter. How many ounces of butter did he buy?
A. 38
B. 43
C. 53
D. 48

Solutions

Step: 1

1 pound = 16 ounces

[Write pound in terms of ounces.]

Step: 2

3 pounds = 3 × 16 = 48 ounces

[Convert pounds to ounces; Multiply 3 by 16.]

Step: 3

Ed bought 48 ounces of butter.

Correct Answer is : 48

Q11Brian bought 64 ounces of potatoes from a grocery store. How many pounds of potatoes did he buy?

A. 4
B. 6
C. 3
D. 5

Solutions

Step: 1

16 ounces = 1 pound

[Write pound in terms of ounces.]

Step: 2

64 ounces = 6416 = 4 pounds

[Convert ounces to pounds; Divide 64 by 16.]

Step: 3

Brian bought 4 pounds of potatoes.

Correct Answer is : 4

Q12Charles caught 500 pounds of shrimp. How many tons of shrimp did he catch?
A. 310
B. 27
C. 1
D. 14

Solutions

Step: 1

2000 pounds = 1 ton

[Write ton in terms of pounds.]

Step: 2

500 pounds = 5002000 ton

[Convert pounds to tons; Divide 500 by 2000.]

Step: 3

= 14 ton

[Divide numerator and denominator by the GCF.]

Step: 4

Charles caught 14 tons of shrimp.

Correct Answer is : 14

Q13How many pints are there in 96 oz?
A. 7 pints
B. 1536 pints
C. 12 pints
D. 6 pints

Solutions

Step: 1

16 oz = 1 pint

[Convert oz to pints.]

Step: 2

1 oz = 116 pints

[Divide each side by 16.]

Step: 3

96 oz = (96 × 1) oz = (96) × ( 116 ) pints

[Substitute 1 oz = 116 pints.]

Step: 4

= 6 pints

[Simplify.]

Step: 5

So, 96 oz equals 6 pints.

Correct Answer is : 6 pints

Q14How many ft. are there in 48 in.?

A. 3 ft
B. 4 ft
C. 36 ft
D. 48 ft

Solutions

Step: 1

12 in. = 1 ft

[Convert in. to ft.]

Step: 2

1 in. = 112 ft

[Divide each side by 12.]

Step: 3

48 in. = (48 × 1) in. = (48 × 112) ft

[Substitute 1 in. = 112 ft.]

Step: 4

= 4 ft

[Simplify.]

Step: 5

So, 48 in. = 4 ft.

Correct Answer is : 4 ft

Q15Ms. Stephanie bought a wheat bag weighing 96 oz. What is the equivalent weight of the bag in lb?

A. 1536 lb
B. 6 lb
C. 6 lb
D. 12 lb

Solutions

Step: 1

16 oz = 1 lb

[Convert oz to lb.]

Step: 2

1 oz = 116 lb

[Divide each side by 16.]

Step: 3

96 oz = (96 × 1) oz = (96 × 116 ) lb

[Substitute 1 oz = 116 lb.]

Step: 4

= 6 lb

[Simplify.]

Step: 5

The equivalent weight of the bag is 6 lb.

Correct Answer is : 6 lb

Solved Examples and Worksheet for Converting Units within Customary System

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HighSchool Math