Question

use the table to figure out how many feet of each decoration you need to buy.

orange | green | total
ribbon | 5 1/4 feet | | 12 2/3 feet
streamers | 8 2/5 feet | 7 1/3 feet |
flags | | 6 8/9 feet | 15 1/3 feet
lights | 3 1/2 feet | 7 3/4 feet |

Explanation:

Step1: Calculate green ribbon length

Subtract orange ribbon length from total ribbon length.
$$12\frac{2}{3}-5\frac{1}{4}=\frac{38}{3}-\frac{21}{4}=\frac{152 - 63}{12}=\frac{89}{12}=7\frac{5}{12}$$

Step2: Calculate total streamers length

Add orange and green streamers length.
$$8\frac{2}{5}+7\frac{1}{3}=\frac{42}{5}+\frac{22}{3}=\frac{126 + 110}{15}=\frac{236}{15}=15\frac{11}{15}$$

Step3: Calculate orange flags length

Subtract green flags length from total flags length.
$$15\frac{1}{3}-6\frac{8}{9}=\frac{46}{3}-\frac{62}{9}=\frac{138 - 62}{9}=\frac{76}{9}=8\frac{4}{9}$$

Step4: Calculate total lights length

Add orange and green lights length.
$$3\frac{1}{2}+7\frac{3}{4}=\frac{7}{2}+\frac{31}{4}=\frac{14 + 31}{4}=\frac{45}{4}=11\frac{1}{4}$$

Answer:

• Green Ribbon: \(7\frac{5}{12}\) feet
• Total Streamers: \(15\frac{11}{15}\) feet
• Orange Flags: \(8\frac{4}{9}\) feet
• Total Lights: \(11\frac{1}{4}\) feet