Question

You choose these because the macaroons require egg whites only and the chocolate mousse requires egg yolks only. Using the proper proportions, you can use up the entire egg. You check and you have only 5 eggs. What is the total amount of each of these desserts that can be made from the 5 eggs assuming you have all the other ingredients for each recipe?

Macaroon Batter0 makes 15 cookies.

100g powdered sugar

50 g sliced almonds

25 g unsweetened cocoa powder

2 large egg whites

65 g sugar

Chocolate Mousse

225 g semisweet baking chocolate

120 mL water

4 g butter

3 egg yolks

30 g sugar

295 mL whipping cream

Answer 1

1 Chocolate mousse requires 3 egg yolks

Hence number of chocolate mousse that can be prepared from 5 eggs = 5 eggs * 1 mousse/3 eggs = 1.67 mousse

If the integer answer is required then we will only be able to make 1 mousse otherwise 1.67 mousse

1 macroon batter makes 15 cookies

Number of cookies = 15 cookies/per batter * 5 egg whites/ 2 egg whites = 37.5 cookies

Hence if only integral answer is requires then 30 cookies and 1 egg white will be wasted otherwise we can make 37.5 cookies