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
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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):
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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).
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)
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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
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