Question

Ms. Leverenz is doing an art project with her class. She has a 3 foot piece of ribbon. If she gives each student an eighth of a foot of ribbon, will she have enough for her class of 22 students?

Answer 1

Answer:

She has 36 inches ribbon and she needs 33 inches for 22 students so she have enough for her class.

Step-by-step explanation:

1 feet = 12 inches or 30.48 cm.

Ms. Leverenz has 3 foot piece of ribbon for an art project.

3 foot = 12 × 3 = 36 inches

she gives each student an eighth of a foot

That is 8/12 inches = 1.5 inches to each student.

Ms. Leverenz gives each student 1.5 inches of ribbon.

Therefore she needs for 22 students

= 22 × 1.5 = 33 inches

She has 3 foot ribbon or 36 inches, so she have enough for her class of 22 students.

Answer 2

Yes, she will.

Further explanation

Given:

Ms. Leverenz is doing an art project with her class.

• She has a 3-foot piece of ribbon.
• She gives each student an eighth of a foot of ribbon.

Question:

Will she have enough for her class of 22 students?

The Process:

$\boxed{ \ An \ eighth \ is \ \frac{1}{8} \ or \ equal \ to \ \frac{1 \times 125}{8 \times 125} = \frac{125}{1,000} = 0.125 \ }$

Let us draw a diagram that connects between she gives each student an eighth of a foot of ribbon with 22 students in her class.

$\boxed{ \ \frac{1}{8} \ }\boxed{ \ \frac{1}{8} \ }\boxed{ \ \frac{1}{8} \ } \cdot \cdot \cdot \cdot \boxed{ \ \frac{1}{8} \ }\boxed{ \ \frac{1}{8} \ } \\\boxed{1^{st}} \boxed{2^{nd}} \boxed{3^{rd}}  \cdot \cdot \cdot \cdot \boxed{21^{st}}\boxed{22^{nd}} \ student$

From the diagram above, let us calculate how long (in ft) the ribbon she has given to 22 students.

$\boxed{ \ \frac{1}{8} \times 22 = ? \ }$

$\boxed{ \ = \frac{22}{8} \ }$

$\boxed{ \ = \frac{16}{8} + \frac{7}{8} \ }$

$\boxed{ \ = 2 + \frac{7}{8} \ }$

$\boxed{\boxed{ \ = 2\frac{7}{8} \ }}$

Therefore, there are $2\frac{7}{8}$-foot piece of ribbon that she has given.

Ms. Leverenz has a 3-foot piece of ribbon.

$\boxed{ \ 2\frac{7}{8} < 3 \ }$

Thus, because the total number of pieces of ribbon given is smaller than the initial length, she will have enough for her class of 22 students

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