SOLUTION: I am not even sure this is that right place to post this, but we'll try. A receipe for a finished product uses 3 ingredients. these 3 ingredients are shipped in buckets that wei

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Question 610439: I am not even sure this is that right place to post this, but we'll try.
A receipe for a finished product uses 3 ingredients. these 3 ingredients are shipped in buckets that weigh 40 lbs. The receipe calls for
Ingredient A 13.33 lbs. ingredient B 10 lbs. Ingredient C 5 lbs. We can ship 64 buckets. What will the ratio of the buckets of ingredients be? And how many finished products can be made from that?
I don't know if this a ratio problem, or another kind of problem. I tried totaling the weight for the 64 buckets and combining the total weight of the combined ingredients then dividing the total by the combined. While this seemed to work initially, it didn't check out.
Any suggestions? What am I missing here?
Thanks in advance.
Lisa

Found 2 solutions by scott8148, ankor@dixie-net.com:
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
rewriting the ratio ___ 40/3:10:5 ___ 8/3:2:1 ___ 8:6:3

8 + 6 + 3 = 17

A ___ 8/17 * 64 = 30.12 (approx) ___ 30 * 40 = 1200 ___ 1200 / (40/3) = 90

B ___ 6/17 * 64 = 22.59 (approx) ___ 22 * 40 = 880 ___ 880 / 10 = 88

C ___ 3/17 * 64 = 11.29 (approx) ___ 11 * 40 = 440 ___ 440 / 5 = 88


63 buckets and 88 receipes

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
A recipe for a finished product uses 3 ingredients. these 3 ingredients are shipped in buckets that weigh 40 lbs.
The recipe calls for:
Ingredient A 13.33 lbs.
ingredient B 10 lbs.
Ingredient C 5 lbs.
We can ship 64 buckets.
What will the ratio of the buckets of ingredients be?
:
Total weight of one item: 13.33+10+5 = 28.33 lb
:
Find the number of buckets of each
Let a = buckets of A stuff
Let b = buckets of B
Let c = buckets of C
:
=
Cross multiply
28.33a = 64 * 13.33
a =
a ~ 30 buckets of A
and, doing it the same way
=
b ~ 23 buckets of B
and
=
c ~ 11 buckets of C
:
"And how many finished products can be made from that? "
~ 90 items






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