SOLUTION: The menu for a 250 person banquet includes 2 ounces of fresh green beans per person. If green beans have a yield of 88.1%, how many full pounds of greens should you purchase for th

Question 1183071: The menu for a 250 person banquet includes 2 ounces of fresh green beans per person. If green beans have a yield of 88.1%, how many full pounds of greens should you purchase for this banquet? (Round your answer up to the next nearest pound)
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

The phrasing "have a yield of 88.1%" means that if you bought say 1000 pounds of green beans, then 0.881*1000 = 881 pounds would be considered edible (unfortunately the remaining portion would have to be tossed).

We're told that each person gets 2 ounces of green beans. With 250 people attending, this means we need to have 2*250 = 500 ounces of green beans.

Let x be the amount of green beans we buy
Some of that will spoil, but 88.1% of that amount x will be edible
88.1% of x = 0.881x is the amount of edible green beans in ounces

Set this equal to the target of 500 ounces and solve for x
0.881x = 500
x = 500/0.881
x = 567.536889897843 which is approximate
x = 568
So we need to buy about 568 ounces of green beans

Divide this by 16 to convert to pounds
568 oz = 568/16 = 35.5 lbs
This then rounds up to 36 pounds.
Keep in mind that this means 36*16 = 576 ounces of green beans are purchased (which is over the target 568, but it's better to shoot over rather than come up short).

Answer: 36 pounds

Answer by ikleyn(52855) (Show Source): You can put this solution on YOUR website!
.
The menu for a 250 person banquet includes 2 ounces of fresh green beans per person.
If green beans have a yield of 88.1%, how many full pounds of greens should you purchase
for this banquet? (Round your answer up to the next nearest pound)
~~~~~~~~~~~~~~~~~~~~

Number of ounces = = 567.54. Number of pounds = 567.54*0.0625 = 35.47. Number of pounds rounded to the next nearest pound = 36. ANSWER

Solved.

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