The average weight for a group of 20 women is 130 pounds.If the average weight for 3/4 of these women was 140 pounds,what was the average weight,in pounds,for the rest of thee women?
100 lbs.
Lets check
100*5/20+ 140*15/20= 25+105=130 lbs
it checks.
Now you could have solved it this way, in the place of 100 you put X
X*5/20+140*15/20=130 and solve for X
To find the average weight for the rest of the women, we need to first determine the total weight of those women whose average weight was 140 pounds.
Since we know that 3/4 of the women had an average weight of 140 pounds, we can calculate how many women that represents.
3/4 of 20 women = (3/4) * 20 = 15 women.
Next, we find the total weight of these 15 women by multiplying the average weight (140 pounds) by the number of women (15).
Total weight = 140 pounds * 15 women = 2100 pounds.
To find the average weight for the remaining women, we need to subtract the total weight of the 15 women from the total weight of all 20 women. Then, we divide that by the number of remaining women.
Total weight of 20 women = 130 pounds * 20 women = 2600 pounds.
Total weight of the rest of the women = Total weight of 20 women - Total weight of the 15 women = 2600 pounds - 2100 pounds = 500 pounds.
Since we want to find the average weight for the rest of the women, we divide the total weight of the rest of the women by the number of remaining women.
Average weight for the rest of the women = Total weight of the rest of the women / Number of remaining women = 500 pounds / 5 women = 100 pounds.
Therefore, the average weight for the rest of the women is 100 pounds.