A farmer grows 196 pounds of potatoes. He sells them to a grocer who divides them into 5 pound and 20 pound bags. if the grocer uses the same number of 5 pounds and 20 pound bags, how many bags of each did he use?
196 does not divide by 5 evenly so we will have some potatoes left over
5 n + 20 n = 196
25 n = 196
n = 7.84
use 6 of each
6*5 = 30
6*25 = 150
sum = 180 with 16 pounds left over
(too bad he does not have 3 more five pound bags)
stupids
28 bags of each
im guessing either 12 06 20 or 16
To find out how many bags of each size the grocer used, we can solve this problem using algebra.
Let's assume the grocer used 'x' number of 5-pound bags and 'x' number of 20-pound bags.
The total weight of potatoes is 196 pounds.
So, the equation representing the total weight is: 5x (weight of 5-pound bags) + 20x (weight of 20-pound bags) = 196.
Combining like terms, the equation becomes: 25x = 196.
Now, let's solve for 'x':
Divide both sides of the equation by 25:
25x/25 = 196/25.
x = 7.84.
Since we can't have fractional bags, we need to round up or down to the nearest whole number. In this case, we can reasonably assume that the grocer used 7 bags of each size.
Therefore, the grocer used 7 bags of 5 pounds and 7 bags of 20 pounds to package the potatoes.