Question

Allie plans to make a fruit cake for her family plus four more to give away to friends. Shown here is a list of the ingredients required to make a fruit cake according to Allie’s recipe. How many ounces of mixed fruit are needed for Allie to make five fruit cakes, according to her recipe?

For three of the fruit cakes Allie is baking, instead of using shortening, she will substitute it with applesauce. One-half cup of applesauce can be substituted for each cup of shortening. For the remaining two fruit cakes, Allie will use shortening as instructed in the recipe. With these substitutions, what is the total number of cups of applesauce Allie needs to make the five fruit cakes? Express your answer as a mixed number.

According to the recipe each cake must bake in the oven at 300 degrees for exactly 1 hour 15 minutes. Allie’s oven is only large enough to accommodate baking one cake at a time. So once a fruit cake finishes baking, she immediately puts the next fruit cake in the oven. If Allie puts the first fruit cake in the oven at 9:45 a.m., at what time will she remove the fifth fruit cake from the oven?

Answer 1

Allie needs 15 cups of mixed fruit, 1 1/2 cups of applesauce, and it will take her 6 hours 15 minutes to bake all five fruit cakes.

To find the total number of cups of mixed fruit Allie needs to make five fruit cakes, according to her recipe, we need to look at the given information. Allie plans to make a fruit cake for her family plus four more to give away to friends. According to the recipe, 3 cups of mixed fruit are needed to make one fruit cake. Therefore, to make five fruit cakes, she will need 3 cups x 5 = 15 cups of mixed fruit.

In the next part of the question, Allie substitutes applesauce for shortening in three of the fruit cakes. She substitutes 1/2 cup of applesauce for each cup of shortening. Since she is making three fruit cakes using applesauce, she will need: 1/2 cup x 3 = 1 1/2 cups of applesauce.

For the remaining two fruit cakes, Allie uses shortening as instructed in the recipe. Therefore, she does not need any applesauce for these two fruit cakes. So the total number of cups of applesauce Allie needs to make the five fruit cakes is: 1 1/2 cups.

To determine the time it takes for Allie to bake all five fruit cakes, we can calculate the baking time for each cake and add them together. Each fruit cake needs to bake in the oven for exactly 1 hour 15 minutes. Since Allie can only bake one cake at a time, it will take her 1 hour 15 minutes x 5 = 6 hours 15 minutes to bake all five fruit cakes.