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

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{(11)/(5)\text{ Kilograms of leaves}}{(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.

Answer 2

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

Step-by-step 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=(3)/(10) bag\\ \\ 1bag=(2.2*10)/(3) kg\\ \\ 1bag=7.33kg`

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