Solve this multi step problem. A household uses 1/44 of a 15 pound bag of rice every 3 weeks. What is the change in the number of pounds of rice in the bag of rice after 8 weeks?
The household uses 1/44 * 15 = <<1/44*15=0.341>>0.341 pounds of rice every 3 weeks.
After 8 weeks, the household would use 0.341 * 8/3 = <<0.341*8/3=0.9093333333333334>>0.909 pounds of rice.
The change in the number of pounds of rice in the bag of rice after 8 weeks is 15 - 0.909 = <<15-0.909=14.091>>14.091 pounds. Answer: \boxed{14.091}.
To solve this multi-step problem, we can break it down into smaller steps:
Step 1: Calculate the amount of rice used per week
To find the amount of rice used per week, we need to divide the weekly usage by the number of weeks it lasts.
rice used per week = (1/44) pound / 3 weeks
rice used per week = 1/44 * 1/3 = 1/132 pound
Step 2: Determine the total rice used in 8 weeks
To find the total amount of rice used in 8 weeks, we multiply the rice used per week by the number of weeks.
total rice used in 8 weeks = rice used per week * 8 weeks
total rice used in 8 weeks = (1/132 pound) * 8 weeks
total rice used in 8 weeks = 8/132 pound = 2/33 pound
Step 3: Calculate the change in the number of pounds of rice in the bag
To find the change in the number of pounds of rice in the bag, we subtract the total rice used in 8 weeks from the initial amount of rice.
change in pounds of rice = 15 pounds - (2/33 pound) = (495/33 pound) - (2/33 pound) = 493/33 pound
So, the change in the number of pounds of rice in the bag after 8 weeks is 493/33 pound.
To solve this multi-step problem, we need to follow these steps:
Step 1: Calculate the amount of rice used per week.
First, we need to find out how much rice is used in one week since the given information is in terms of a 3 week period.
To do this, we divide the amount of rice used in 3 weeks by 3.
1/44 of a 15-pound bag of rice every 3 weeks can be calculated as (1/44) * 15 = 15/44 pounds per 3 weeks.
Now, to find out the amount used in one week, we divide this value by 3.
(15/44) / 3 = 15/44 * 1/3 = 15/132 pounds per week.
So, the household uses 15/132 pounds of rice per week.
Step 2: Calculate the total amount of rice used in 8 weeks.
To find the total amount of rice used in 8 weeks, we multiply the amount used per week by the number of weeks.
(15/132) * 8 = 120/132 = 10/11 pound.
Therefore, the household will use 10/11 pounds of rice in 8 weeks.
Step 3: Calculate the change in the number of pounds of rice in the bag.
To find the change in the number of pounds of rice in the bag, we subtract the amount used in 8 weeks from the initial 15-pound bag.
15 - (10/11) = (165/11) - (120/132) = 165/11 - 10/11 = 155/11 = 14.09 pounds (approximately).
So, the change in the number of pounds of rice in the bag after 8 weeks is 14.09 pounds.