High School

Emily is making bows using ribbon. She has two pieces of ribbon to use. One is 23 yards long, and the other is 4 \(\frac{1}{4}\) yards long. She needs \(1 \frac{5}{6}\) yards of ribbon to make each bow.

What is the greatest number of bows Emily can make?

Show your work.

Answer :

Final answer:

Emily has a total of 27 1/4 yards of ribbon. Each bow requires 1 5/6 yards, therefore Emily can make 14 bows with the ribbon she has.

Explanation:

To solve this problem, we first need to determine the total amount of ribbon that Emily has. She has one piece that is 23 yards long and another that is 4 1/4 yards long. To find the total, we add these two lengths together:

23 yards + 4 1/4 yards = 27 1/4 yards

Each bow Emily makes needs 1 5/6 yards of ribbon. To find out how many bows she can make, we divide the total amount of ribbon by the amount needed for each bow:

27 1/4 yards ÷ 1 5/6 yards = 14.6(around)

Since Emily cannot make a fraction of a bow, we round down to the nearest whole number. So, Emily can make 14 bows.

Learn more about Division here:

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Answer:

14


Step-by-step explanation:

In total, Emily has [tex]23+4\frac{1}{4}=27\frac{1}{4}=\frac{109}{4}[/tex] yards of ribbon.

Each bow requires [tex]1\frac{5}{6}=\frac{11}{6}[/tex] yards of ribbon


To figure out, we divide total amount of ribbon by amount each bow needs:

Number of bows = [tex]\frac{\frac{109}{4}}{\frac{11}{6}}=14.86[/tex]


So the maximum number of "complete" bows Emily can make is 14

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