Question

Last? weekend, Charlie raked leaves in his front yard. He noticed that StartFraction 11 Over 5 EndFraction kilograms of leaves filled three tenths of a bag. What is the unit rate for kilograms of leaves per? bag?

Answer 1

Answer:

Mass of one bag of leaves collected by Charlie = 7.33 kg

Explanation:

  Soil collected by him = 11 over 5 kilograms = 2.2 kilograms.

  So we have 2.2 kg of leaves fills  three tenths of a bag,

   $2.2kg=\frac{3}{10} bag\\ \\ 1bag=\frac{2.2*10}{3} kg\\ \\ 1bag=7.33kg$

 So, mass of one bag of leaves collected by Charlie = 7.33 kg

Answer 2

Answer:

7.333 kilograms of leaves per bag.

Step-by-step explanation:

We are given that last weekend Charlie raked leaves in his front yard. He noticed that 11/5 kilograms of leaves filled 3/10 of a bag. We are asked to find unit rate for kilograms of leaves per bag.

Since we know that unit rate is a comparison of two different quantities when we combine them together.

To find unit rate for this problem we have to divide 11/5 kilograms of leaves by part of bag filled by 11/5 kilograms leaves.

$\frac{\frac{11}{5}\text{ Kilograms of leaves}}{\frac{3}{10}\text{ Bag}}$

Dividing two fractions is same as multiplying first fraction by second fraction's reciprocal.

$=\frac{11\cdot 10\text{ kg leaves}}{5\cdot 3\text{ bag}}$

$=\frac{22\text{ kg leaves}}{ 3\text{ bag}}$

$=\frac{7.333\text{kg leaves}}{\text{bag}}$

Therefore, our unit rate will be 7.33 kg leaves per bag.