carcass wrote:
A school club plans to package and sell dried fruit to raise money. The club purchased 12 containers of dried fruit, each containing \(16\frac{3}{4}\) pounds. What is the maximum number of individual bags of dried fruit, each containing \(\frac{1}{4}\) pounds, that can be sold from the dried fruit the club purchased ?
A. 50
B. 64
C. 67
D. 768
E. 804
Probus wrote:
Hi, we can solve this alternatively
if we assume that each lot contains 17 pounds.
Then total we have is 17 *12.
We need to distribute them in bags which can hold upto 1/4 pounds.
the total number of bags in this case would be 17*12*4= 816
Since we have taken 1/4 more than given lot size , the additional bags because of these 1/4 is = 1/4*12*4 = 12
So total number of bags are 816-12= 804
Hope this helps
You and I are on the same page,
Probus. Why would I work with 64/7 unless absolutely necessary?!?
One little tweak for me. I don't like 17. It's just not a number that feels great for me to work with. So, I went with 16. Since I've rounded down, I'll put a little (+) next to each step in my calculations to remind me that I need an answer choice that's a little bigger than what I've got.
16*12 = 160+32 = 192(+)
Now I need to multiply that by 4, so 192*4, which is 768(+).
There's only one answer choice that's a little bigger than the 768 I got.
Answer choice E.
ThatDudeKnowsBallparking