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!
