It takes 10bags of rice to feed a family of 5 for 35 days. Assume that they eat at a constant rate. How many bogs of rice are needed to feed the same family for 50 days?
If it takes 10 bags of rice to feed a family of 5 for 35 days, then 1 bag of rice feeds the family for 35/10 = <<35/10=3.5>>3.5 days.
To feed the family for 50 days, they would need 50/3.5 = <<50/3.5=14.285714285714286>>14.285714285714286 bags of rice.
Since they cannot buy a fraction of a bag of rice, the family would need 15 bags of rice to feed them for 50 days. Answer: \boxed{15}.
To determine the number of bags of rice needed to feed the same family for 50 days, we can calculate the daily consumption of the family and then multiply it by the number of days.
First, let's calculate the daily consumption:
Number of bags of rice consumed per day = (Number of bags of rice consumed in 35 days) / (Number of days)
Number of bags of rice consumed per day = 10 bags / 35 days = 2/7 bags per day
Next, let's calculate the total number of bags needed for 50 days:
Number of bags needed for 50 days = (Number of bags consumed per day) * (Number of days)
Number of bags needed for 50 days = (2/7) bags per day * 50 days
Number of bags needed for 50 days = 100/7 = 14.29
Since you cannot have a fraction of a bag, you will need to round up to the nearest whole number. Therefore, the family will need 15 bags of rice to feed themselves for 50 days.
To answer this question, we need to calculate the rate at which the family consumes rice and then use that rate to determine the number of bags required for 50 days.
Given information:
- Bags of rice required for 35 days = 10 bags
- Number of family members = 5
Step 1: Calculate the rate of rice consumption per day for the family:
Rice bags consumed per day = Bags of rice required / Number of days
Rice bags consumed per day = 10 bags / 35 days
Step 2: Calculate the rice consumption for 50 days:
Rice bags required for 50 days = Rice bags consumed per day * Number of days
Rice bags required for 50 days = (10 bags / 35 days) * 50 days
To calculate the final answer, we need to simplify the equation:
Rice bags required for 50 days = (10/35) * 50
Rice bags required for 50 days ≈ 14.29
Therefore, approximately 14.29 bags of rice are needed to feed the family for 50 days, considering a constant rate of consumption.