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Solutions to End-of-Chapter Questions and Problems 525
7. The total weight is 58 2000 pounds 116,000 pounds. Each wheel carries
116,000/8 pounds 14,500 pounds.
8. The total time, 8 hours, is equal to 8 60 60 seconds 28,800 seconds. There are
1,200 parts. Therefore, the time required to make each part is 28,800/1,200 24 seconds.
9. The full package weighs 1,565 16 25,040 ounces. The empty package weighs
2.5 16 40 ounces. The total weight of the parts is 25,040 40 25,000 ounces.
The weight of each part is therefore 25,000 ounces divided by 10,000, or 2-1/2 ounces.
10. The full package weighs 2,960 16 47,360 ounces. The empty package weighs
5 16 80 ounces. The total weight of the parts is 47,360 80 47,280 ounces.
The number of parts in the package is therefore 47,280 ounces divided by 3 ounces, or
15,760.
11. One mile is 5,280 feet. This is to be divided into 33 equal parts. The width of each
lot is therefore 5280/33 160 feet.
12. On each gallon of gas, the car travels 462/22 21 miles.
13. The quantities must all be divided by 160 to get the amounts needed for 1 gallon.
First, convert all figures to fluid ounces. There are 128 fluid ounces to the gallon. To
make 1 gallon of the mixture, therefore, you must have
(75 128)/160 60 fluid ounces of ingredient 1
(50 128)/160 40 fluid ounces of ingredient 2
(25 128)/160 20 fluid ounces of ingredient 3
(10 128)/160 8 fluid ounces of ingredient 4
14. The answers are
(a) 1/8 (b) 7/10
(c) 3/8 (d) 19/20
15. The quickest way to get the answers here is to use the law of the nines.
(a) 416/999 (b) 21/99
(c) 189/999 (d) 4,892/9,999
CHAP. 5
1. These sets of fractions have the same value:
1/2, 3/6, 4/8, 9/18, and 10/20
1/3, 3/9, 4/12, 5/15, 6/18, and 7/21
2/5, 4/10, 6/15, and 8/20
2/3, 4/6, and 8/12
3/4, 9/12, and 15/20
2. The answers, in order, are as follows. The “complicated” original version is listed
to the left of each equals sign, and the simplest form is listed to the right:
7/14 1/2
26/91 2/7