The bakery chef at Central Supermarket is collecting the ingredients to bake some brownies. His cookbook contains this ingredient list:
INGREDIENTS FOR BROWNIES
1/2 cup butter
1.5 ounces unsweetened chocolate
1 cup sugar
2 eggs
1 teaspoon vanilla
3/4 cup all-purpose flour
1/3 cup chopped nuts
Use a 6-inch by 9-inch baking pan.
However, the chef needs to use a commercial-size baking pan, 18 inches by 2 feet.
Figure out how much of each ingredient would be needed to bake brownies in this pan. Explain how you found your answer and how you know it is correct.
(The brownies should still have the same thickness as in the original recipe.)
1. The answers for this post were kind of all over the place. A couple of things you should have been thinking about as you solved this problem:
2. Did you include the units? Were you suppose to use cups, teaspoons? This would have a huge effect on the new batch of brownies.
3. Did you fractions make sense? Could a larger recipe call for less of an ingredient?
4. How many dimensions are you enlarging? This problem call for you to use the area of the pan, (we didn't even have to think about the volume - whew!) which is two dimensions. Because you were using two dimensions we need to take that scale factor for both sides and multiply them together or as we learned in the scaling project to square our scale factor.
Make sure to slow down and think about the POW if it seems so obvious you may want to re-read the problem to be sure you have all the information you need to solve the problem.
Ms. L.
The correct answer:
The new recipe
4 cups butter
12 ounces unsweetened chocolate
8 cups sugar
16 eggs
8 teaspoons vanilla
6 cups all-purpose flour
8/3 cups chopped nuts
1. The answers for this post were kind of all over the place. A couple of things you should have been thinking about as you solved this problem:
2. Did you include the units? Were you suppose to use cups, teaspoons? This would have a huge effect on the new batch of brownies.
3. Did you fractions make sense? Could a larger recipe call for less of an ingredient?
4. How many dimensions are you enlarging? This problem call for you to use the area of the pan, (we didn't even have to think about the volume - whew!) which is two dimensions. Because you were using two dimensions we need to take that scale factor for both sides and multiply them together or as we learned in the scaling project to square our scale factor.
Make sure to slow down and think about the POW if it seems so obvious you may want to re-read the problem to be sure you have all the information you need to solve the problem.
Ms. L.
The correct answer:
The new recipe
4 cups butter
12 ounces unsweetened chocolate
8 cups sugar
16 eggs
8 teaspoons vanilla
6 cups all-purpose flour
8/3 cups chopped nuts
