Question

On the popular cooking show Cookbook Crunch, the host picks a random recipe from a cookbook and the author has to feed the 63-member studio audience in one hour! The host selects this recipe for Carlita: Spicy Spinach and Apricots (Feeds 6) Ingredients: • 1/2 kilogram spinach • 1/4 kilogram apricots • 1/5 kilogram jalapeno pastry • 1/10 kilogram pine nuts • Salt, pepper, and hot sauce Bake at 350° in a medium loaf pan for 45 minutes. Carlita only finds a hundred small, 175-gram loaf pans. If cooking time is proportional to the amount of mixture and if the oven holds 9 of these pans at once, how much time will be left in the show when Carlita pulls the last batch out of the oven? (Assume the time to mix ingredients, remove a batch from the oven, and put in the next one is insignificant.)

Answer 1

Answer:

When Carlita pulls the last batch out of the oven, it will be left in the show 7.5 minutes.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

The host selects this recipe for Carlita:

Spicy Spinach and Apricots (Feeds 6)

Ingredients:

1/2 kilogram spinach = 500 grams

1/4 kilogram apricots = 250 grams

1/5 kilogram jalapeno pastry = 200 grams

1/10 kilogram pine nuts = 100 grams

Total ingredients for 6 = 500 + 250 + 200 + 100 = 1,050 grams

Carlita only finds a hundred small, 175-gram loaf pans.

2. If cooking time is proportional to the amount of mixture and if the oven holds 9 of these pans at once, how much time will be left in the show when Carlita pulls the last batch out of the oven? (Assume the time to mix ingredients, remove a batch from the oven, and put in the next one is insignificant.)

Original recipe = 1,050 grams of ingredients baked at 350° in a medium loaf pan for 45 minutes

1,050/175 = 6 (It means that the amount you’re baking in a small pan is 1/6 the amount in the original recipe). Let's recall that bake time is proportional to how much you’re baking, then you bake each small pan for 45 mins/6  = 7.5 minutes (divide by 6 since small pan is 1/6 the size of recipe)

Now, we can calculate the number of batches needed to feed the 63 members of the studio audience:

Batches = Number of members/Number of small pans at once in the oven

Batches = 63/9 = 7

Finally, we can calculate the time needed for the 7 batches:

Total time = Number of batches * proportional time a small pan needed to bake 175 grams of ingredients

Total time = 7 * 7.5 minutes = 52.5 minutes

If Carlita has to pull the last batch out of the oven in less than an hour, it will be left in the show (60 - 52.5 = 7.5 minutes) . She even could feed nine more members of the audience!