Jack has $$ 10 \frac{2}{3} $$ yards of ribbon to make bows. Each bow is made from a piece of ribbon that is $$ \frac{3}{5} $$ yard long. What is the maximum number of complete bows Jack can make?

Question

UpStudy AI · Accepted Answer

To determine the maximum number of complete bows Jack can make, follow these steps:

1. **Convert Mixed Number to Improper Fraction:**
   Jack has $$ 10 \frac{2}{3} $$ yards of ribbon. Convert this to an improper fraction:
   $$
   10 \frac{2}{3} = \frac{(10 \times 3) + 2}{3} = \frac{32}{3} \text{ yards}
   $$

2. **Divide Total Ribbon by Ribbon per Bow:**
   Each bow requires $$ \frac{3}{5} $$ yard of ribbon. To find out how many bows Jack can make, divide the total ribbon by the ribbon needed for one bow:
   $$
   \frac{32}{3} \div \frac{3}{5} = \frac{32}{3} \times \frac{5}{3} = \frac{160}{9} \approx 17.78
   $$

3. **Determine the Maximum Complete Bows:**
   Since Jack can only make complete bows, we take the integer part of the result:
   $$
   \text{Maximum complete bows} = 17
   $$

**Answer:**  
17
Jack can make 17 complete bows.

Jack has yards of ribbon to make bows. Each bow is made from a piece of ribbon
that is yard long. What is the maximum number of complete bows Jack can make?

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Arithmetic Questions

Jack has yards of ribbon to make bows. Each bow is made from a piece of ribbon that is yard long. What is the maximum number of complete bows Jack can make?