Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound of peanuts. How many 2-pound bags of peanuts should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over?
This is the correct answer.
5/6+5/6+5/6+5/6+5/6+5/6=30/6
= 5 Pound Bags.
6 small bags hold 5 pounds.
The nuts come in 2-lb bags, so we need to bag up 10 lbs not to have any left over.
So, how many 2-lb bags in 10 lbs?
Don’t get it
2 / 5/6 = 2 * 6/5 = 12/5 = 2.4
So a 2-lb bag holds 2 complete 5/6 lb bags, or 5/3 lbs, leaving 1/3 lb left over
using 3 bags will then fill 7 small bags
or
number of bags needed --- n
amount of peanuts he bought 2n lbs
number of bags he needs to buy
= 2n/(5/6)
= 12n/5 <---- must be a whole number
the smallest number of n to make it so, is n = 5
number of bags needed = 5
I don't get it?
I think that's wrong Molly?
Medline please explain your answer in detail in not getting it
Please be advise textbooks some times have mistakes wording problems. This problem read to me to pack 5/6 of a pound, not 5/6 of a 2-pound bag, so the answer cannot be 3, 5 or 6 bags. It is 15 bags because he needs to repack bags with no peanuts left over.
1 pound = 6/6. Since he repacks into 5/6, there is 1/6 left for every pound.
Then for every 2-pound bag he has 2/6 leftover.
2-pound bag = 12/6 - 10/6 = 2/6
For every three 2-pound bags he repacks into 5/6, he has 1/6 left over.
In five 2-pound bags he gets 5/6 more, enough to make small bags with zero left over. Each two lines of 1/6 represents 2-pound bag.
1/6 1/6 1/6 1/6 1/6 1/6
1/6 1/6 1/6 1/6 1/6 1/6
1/6 1/6 1/6 1/6 1/6 1/6
1/6 1/6 1/6 1/6 1/6 1/6
1/6 1/6 1/6 1/6 1/6 1/6
1/6 1/6 1/6 1/6 1/6 1/6
If you make this 5 times, you'll see the result. 15 bags of 2-pound.
You need to get a while so
5/6+5/6=10/6 not a whole
10/6+5/6=15/6= not a whole
15/6+5/6=20/6 not a whole
20/6+5/6=25/6 not a whole
2/5+5/6=30/60
There are 5 wholes in 30/6 so 5 bags
Hoped this helped