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A caterer for a wedding reception wants to use a Hungarian recipe for eggplant salad that recommends using 1.5 kg of eggplant for 8 guests. However, in her area, eggplant is sold only by the pound. If 150 guests are expected, how many pounds of eggplant should the caterer purchase? (Round to the nearest pound.)

1 Answer

5 votes

Given:

1.5 kg of eggplant for 8 guests

150 guests expected

To solve this problem, the first thing we need to do is to divide the number of expected guests by 8, since we know that the recipe uses 1.5 kg of eggplant fr 8 guests.


(150guests)/((8guests)/(recipe))=18.75

Next, we will find how many kilograms of eggplant are needed overall. To do this, we will multiply the number of total recipes by 1.5 kg, since 1.5kg of eggplant are needed for 8 guests.

Total recipe = 18.75


18.75recipes*\frac{1.5\operatorname{kg}}{recipe}=28.125

Next, we will convert this to pounds, since we are asked how many pounds of eggplant are needed to cater the guests. To do this, we will multiply the kilogram value that we got by 2.205


28.125\operatorname{kg}*(2.205lb)/(kg)=62.02

Now, since are asked to round the answer to its nearest pound, the caterer would be needing to purchase 62 pounds of eggplants.

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