Question

problems (highlight your final answers or in color font)

1. a gasket requires 2/3 foot of material. how much material is needed for 6 gaskets?
2. each gasket requires 3/4 foot of material. how much material is needed for 12 gaskets?
3. a hose cut for repairs is 1/5 meter long. how much hose is needed for 20 repairs?
4. a gasket requires 7/8 foot of material. how much material is needed for 8 gaskets?
5. each repair requires 2/3 foot of hose. how much hose is needed for 15 repairs?
6. each gasket requires 5/6 foot of material. how much material is needed for 9 gaskets?
7. a hose piece is 3/1 meter. how much hose is needed for 30 repairs?
8. each gasket uses 2/5 foot of material. how much material is needed for 25 gaskets?
9. each repair requires 1/4 meter of hose. how much hose is needed for 16 repairs?
10. a gasket requires 7/12 foot of material. how much is needed for 24 gaskets?
11. a mechanic cuts 3/8 meter of hose per repair. how much hose is needed for 32 repairs?
12. each gasket requires 9/10 foot of material. how much is needed for 10 gaskets?
13. a mechanic uses 2/9 meter of hose per job. how much hose is needed for 27 jobs?
14. each gasket requires 4/5 foot of material. how much is needed for 15 gaskets?
15. a mechanic cuts 5/12 meter of hose for each job. how much hose is needed for 36 jobs?

Explanation:

Step1: Multiply the amount of material per - unit by the number of units

1. For the first problem: The amount of material per gasket is $\frac{2}{3}$ foot and the number of gaskets is 6. So the calculation is $\frac{2}{3}\times6=\frac{2\times6}{3}=4$ feet.
2. For the second problem: The amount of material per gasket is $\frac{3}{4}$ foot and the number of gaskets is 12. So $\frac{3}{4}\times12=\frac{3\times12}{4}=9$ feet.
3. For the third problem: The length of hose per repair is $\frac{1}{5}$ meter and the number of repairs is 20. So $\frac{1}{5}\times20=\frac{1\times20}{5}=4$ meters.
4. For the fourth problem: The amount of material per gasket is $\frac{7}{8}$ foot and the number of gaskets is 8. So $\frac{7}{8}\times8 = 7$ feet.
5. For the fifth problem: The amount of hose per repair is $\frac{2}{3}$ foot and the number of repairs is 15. So $\frac{2}{3}\times15=\frac{2\times15}{3}=10$ feet.
6. For the sixth problem: The amount of material per gasket is $\frac{5}{6}$ foot and the number of gaskets is 9. So $\frac{5}{6}\times9=\frac{5\times9}{6}=\frac{15}{2}=7.5$ feet.
7. For the seventh problem: The length of hose per repair is 3 meters (since $\frac{3}{1}=3$) and the number of repairs is 30. So $3\times30 = 90$ meters.
8. For the eighth problem: The amount of material per gasket is $\frac{2}{5}$ foot and the number of gaskets is 25. So $\frac{2}{5}\times25=\frac{2\times25}{5}=10$ feet.
9. For the ninth problem: The length of hose per repair is $\frac{1}{4}$ meter and the number of repairs is 16. So $\frac{1}{4}\times16=\frac{1\times16}{4}=4$ meters.
10. For the tenth problem: The amount of material per gasket is $\frac{7}{12}$ foot and the number of gaskets is 24. So $\frac{7}{12}\times24=\frac{7\times24}{12}=14$ feet.
11. For the eleventh problem: The length of hose per repair is $\frac{3}{8}$ meter and the number of repairs is 32. So $\frac{3}{8}\times32=\frac{3\times32}{8}=12$ meters.
12. For the twelfth problem: The amount of material per gasket is $\frac{9}{10}$ foot and the number of gaskets is 10. So $\frac{9}{10}\times10 = 9$ feet.
13. For the thirteenth problem: The length of hose per job is $\frac{2}{9}$ meter and the number of jobs is 27. So $\frac{2}{9}\times27=\frac{2\times27}{9}=6$ meters.
14. For the fourteenth problem: The amount of material per gasket is $\frac{4}{5}$ foot and the number of gaskets is 15. So $\frac{4}{5}\times15=\frac{4\times15}{5}=12$ feet.
15. For the fifteenth problem: The length of hose per job is $\frac{5}{12}$ meter and the number of jobs is 36. So $\frac{5}{12}\times36=\frac{5\times36}{12}=15$ meters.

Answer:

1. 4 feet
2. 9 feet
3. 4 meters
4. 7 feet
5. 10 feet
6. 7.5 feet
7. 90 meters
8. 10 feet
9. 4 meters
10. 14 feet
11. 12 meters
12. 9 feet
13. 6 meters
14. 12 feet
15. 15 meters