It would be simplified to 1/21
Answer:
pounds.
Step-by-step explanation:
We have been given that Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6.
To find weight of bucket after taking out the two items, we will subtract weight of each item from 6 pounds as:
![\text{Weight of bucket}=6-1\frac{4}{6}-2\frac{1}{6}](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20of%20bucket%7D%3D6-1%5Cfrac%7B4%7D%7B6%7D-2%5Cfrac%7B1%7D%7B6%7D)
Let us convert mixed fractions into improper fractions as:
![1\frac{4}{6}=\frac{6\cdot 1+4}{6}=\frac{10}{6}\\\\2\frac{1}{6}=\frac{6\cdot 2+1}{6}=\frac{12+1}{6}=\frac{13}{6}](https://tex.z-dn.net/?f=1%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B6%5Ccdot%201%2B4%7D%7B6%7D%3D%5Cfrac%7B10%7D%7B6%7D%5C%5C%5C%5C2%5Cfrac%7B1%7D%7B6%7D%3D%5Cfrac%7B6%5Ccdot%202%2B1%7D%7B6%7D%3D%5Cfrac%7B12%2B1%7D%7B6%7D%3D%5Cfrac%7B13%7D%7B6%7D)
![\text{Weight of bucket}=6-\frac{10}{6}-\frac{13}{6}](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20of%20bucket%7D%3D6-%5Cfrac%7B10%7D%7B6%7D-%5Cfrac%7B13%7D%7B6%7D)
![\text{Weight of bucket}=\frac{6\cdot 6}{6}-\frac{10}{6}-\frac{13}{6}](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20of%20bucket%7D%3D%5Cfrac%7B6%5Ccdot%206%7D%7B6%7D-%5Cfrac%7B10%7D%7B6%7D-%5Cfrac%7B13%7D%7B6%7D)
![\text{Weight of bucket}=\frac{36}{6}-\frac{10}{6}-\frac{13}{6}](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20of%20bucket%7D%3D%5Cfrac%7B36%7D%7B6%7D-%5Cfrac%7B10%7D%7B6%7D-%5Cfrac%7B13%7D%7B6%7D)
Combine numerators:
![\text{Weight of bucket}=\frac{36-10-13}{6}](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20of%20bucket%7D%3D%5Cfrac%7B36-10-13%7D%7B6%7D)
![\text{Weight of bucket}=\frac{13}{6}](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20of%20bucket%7D%3D%5Cfrac%7B13%7D%7B6%7D)
![\text{Weight of bucket}=2\frac{1}{6}](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20of%20bucket%7D%3D2%5Cfrac%7B1%7D%7B6%7D)
Therefore, the weight of the bucket is
pounds.
20 + 8x = 32
- 20
8x = 12
-- --
8 8
x = 3/2= 1 1/2
Answer:
The answer is C 66%
Step-by-step explanation: