﻿ Unit Conversion Word Problems - Page 11 | Problems & Solutions

# Unit Conversion Word Problems - Page 11

Unit Conversion Word Problems
• Page 11
101.
How many one cup servings can be made with 5 pints of milk?
 a. 12 b. 11 c. 13 d. 10

#### Solution:

5 pints = 2 × 5 = 10 cups
[Since 1 pint = 2 cups, multiply 2 by 5.]

10 one-cup servings can be made with 5 pints of milk.

102.
Joe and Chris pitched their tents such that they are 10 yd 2 ft apart. Express the distance in ft.
 a. 34 b. 27 c. 37 d. 32

#### Solution:

1 yd = 3 ft
[Write yd in terms of ft.]

10 yd 2 ft = [(10 × 3) + 2] ft
[Convert yd to ft; Multiply 10 by 3.]

= (30 + 2) ft = 32 ft

The distance between the two tents is 32 ft.

103.
Joe has to cross a $\frac{1}{6}$ mile long bridge to reach his office. What is the length of the bridge in feet?
 a. 890 b. 880 c. 870 d. None of the above

#### Solution:

1 mile = 5280 feet
[Write mile in terms of feet.]

1 / 6 mile = 1 / 6 x 5280
[Convert miles to feet; Multiply 1 / 6 by 5280.]

= 1 / 6 x 5280 / 1
[Rewrite 5280 as 5280 / 1.]

= 1 / 1 x 880 / 1
[Cancel 5280 with 6.]

= 880 feet
[Simplify.]

The length of the bridge is 880 feet.

104.
Charles bought 80 ounces of potatoes from a grocery store. How many pounds of potatoes did he buy?
 a. 4 b. 7 c. 6 d. 5

#### Solution:

16 ounces = 1 pound
[Write pound in terms of ounces.]

80 ounces = 80 / 16 = 5 pounds
[Convert ounces to pounds; Divide 80 by 16.]

Charles bought 5 pounds of potatoes.

105.
Brad bought 4 pounds of butter. How many ounces of butter did he buy?
 a. 69 b. 54 c. 59 d. 64

#### Solution:

1 pound = 16 ounces
[Write pound in terms of ounces.]

4 pounds = 4 × 16 = 64 ounces
[Convert pounds to ounces; Multiply 4 by 16.]

Brad bought 64 ounces of butter.

106.
Francis caught 600 pounds of shrimp. How many tons of shrimp did he catch?
 a. $\frac{7}{20}$ b. 1 c. $\frac{3}{10}$ d. $\frac{1}{3}$

#### Solution:

2000 pounds = 1 ton
[Write ton in terms of pounds.]

600 pounds = 600 / 2000 ton
[Convert pounds to tons; Divide 600 by 2000.]

= 3 / 10 ton
[Divide numerator and denominator by the GCF.]

Francis caught 3 / 10 tons of shrimp.

107.
Find the value of $s$ in the expression $s$ cm = 5.28 km.
 a. 52800 b. 528 c. 528000 d. 5280

#### Solution:

1 km = 1000 m = 100000 cm

5.28 km = (5.28 x 100000) cm
[Convert kilometers into centimeters.]

= 528000 cm
[Multiply.]

The value of s is 528000.

108.
Find the value of $q$ in the expression $q$ mm = 6.69 m.
 a. 669 b. 6690 c. 66900 d. 66.9

#### Solution:

1 m = 100 cm = 1000 mm

6.69 m = 6.69 x 1000 mm
[Convert meters into millimeters.]

= 6690 mm
[Simplify.]

The value of c is 6690.

109.
Which unit of capacity best fills the blank in the expression? 3.153 kL = 3153 ___
 a. Kiloliters b. Deciliters c. Milliliters d. Liters

#### Solution:

3.153 kL = 3153 ___
[Original expression.]

3.153 kL = 3.153 x 1000 ___
[Split the expression.]

1 kL = 1000 L
[kL in terms of L.]

3.153 kL = (3.153 x 1000) L
[Convert kL to L.]

= 3153 L
[Simplify.]

Since 3.153 kL = 3153 L, the unit of capacity that best fills in the blank is liters.

110.
The height of a pole is 5.2 m. Express the height in cm.
 a. 5.2 cm b. 520 cm c. 52 cm d. 5200 cm

#### Solution:

1 meter = 100 centimeters.

Height of a pole = 5.2 m = 5.2 × 100 cm
[Convert meters into centimeters.]

= 520 cm
[Multiply.]

The height of pole is 520 cm.