Posted by **Chris** on Wednesday, May 7, 2014 at 6:03pm.

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?

- math -
**Reiny**, Wednesday, May 7, 2014 at 7:13pm
let the number of bags needed be n

so 2n ÷ (5/6) must be a whole number

= 2n(6/5)

= 12n/5

The smallest value of n is 5

So he should buy 5 of the 2 lbs bags

Check:

if n=5 , he will have 10 lbs.

number of smaller bags he can fill

= 10 ÷ (5/6)

= 10(6/5)

= 12 ---> exact number of bags, no peanuts left over.

- math -
**Alex**, Thursday, March 5, 2015 at 5:21pm
3 bags

in 3 bags he will have 6 pounds. If for each bag he needs 5/6 of a pound this means he will have 1/6 x 6 leftover, which is exactly another bag.

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