Question

You are preparing a variety of pastries for a party you are catering. You anticipate each

of the 400 guests will consume approximately 1.75 pastries. One quarter of the pastries
will have 2 ounces of lemon filling each. The recipe for the filling yields 2 pounds and
calls for 1 quart of heavy cream, 6 eggs, and 1 cup of lemon juice.
a.) How many quarts of heavy cream will you need?
b.) How many dozen eggs should you order?
c.) A lemon will yield 2 ounces of juice. How many lemons should you order?

Answer 1

a.) Exact result: 10.9375. Approximate: 11 quarts of heavy cream.

b.) Exact result: 65.625. Approximate: 66 eggs.

c.) Exact result: 43.75. Approximate: 44 lemons.

Explanation:

a.) How many quarts of heavy cream will you need?

If 400 guest will consume 1.75 pastries, then the total of pastries is:

`400*1.75=700`

If one quarter of the pastries will have 2 ounces of lemon filling, then the amount of pastries that will ahve this filling is:

`700*(1)/(4)= 175`

If 175 will have 2 ounces of lemon filling, then the ounces of lemon filling needed is:

`175*2=350`

Then, the mass, in pounds, of lemon filling needed is:

`350/16=21.875`

To find the quarts of heavy cream needed, set up a rule of 3 like this:

2 pounds of filling ------------ 1 quart of heavy cream

21.875 pounds of filling ----- x

`x= (21.875*1)/(2) =10.9375`

The amount of quarts of heavy cream needed is, approximately, 11.

b.) How many dozen eggs should you order?

Do the same rule of 3 as in question 1, except that now we substitute the ingredient and que quantity:

2 pounds of filling ------------ 6 eggs

21.875 pounds of filling ----- x

`x= (21.875*6)/(2) =65.625`

The amount of eggs needed is, approximately, 66.

c.) A lemon will yield 2 ounces of juice. How many lemons should you order?

First, let's find out how many cups of lemon juice are needed through a rule of 3.

2 pounds of filling ------------ 1 cup of lemon juice

21.875 pounds of filling ----- x

`x= (21.875*1)/(2) =10.9375`

Now, convert the cups to ounces.

10.9375 cups * 8= 87.5 ounces.

Set up another rule of 3 to determine the number of lemons.

2 ounces ------------ 1 lemon

87.5 ounces ----- x

`x= (87.5*1)/(2) =43.75`

The amount of lemons needed is, approximately, 44.