1. Elizabeth planned to make 6 pans of apple crisp for the day, using extra tart granny smith apples-just like her grandmother had. But after peeling, coring, and slicing she had a major problem: she only had 10 cups of apple slices. it was getting late and she needed to get some pans of apple crisp into the over. she knew that 10 cups of apple was 2 1/2 times as much 4 cups she needed, so she decided to use multiplication to figure 2 1/2 batches. Base on her hasty decision, how much each of each ingredient will she need?
2. After looking at her math, Elizabeth realized her mistake. She didn't have a pan that she could use for half a batch, and her math seemed too complicated anyway. she decided she would just make a double batch for now, because the she wouldn't need to multiply. using addition, how much of each ingredient would she need for a double batch?
Wonder what she did with the extra 2 cups of tart sliced apples?
1. To solve this problem, we need to figure out the amount of each ingredient needed for 2 1/2 batches of apple crisp. Since Elizabeth already knows that 10 cups of apple slices is 2 1/2 times the amount she needs (4 cups per batch), we can divide 10 by 2.5 to find the amount needed for one batch.
To do this calculation, we divide 10 by 2.5:
10 ÷ 2.5 = 4
So, for one batch of apple crisp, she needs 4 cups of apple slices.
Now, let's consider the other ingredients. Since we're making 2 1/2 batches, we'll need to multiply the amount of each ingredient by 2.5.
Let's say the ingredient list for one batch of apple crisp is as follows:
- 4 cups of apple slices
- X cups of sugar
- Y cups of flour
- Z cups of oats
- A cups of butter
To get the amounts needed for 2 1/2 batches, we multiply by 2.5:
- Apple slices: 4 cups × 2.5 = 10 cups
- Sugar: X cups × 2.5 = 2.5X cups
- Flour: Y cups × 2.5 = 2.5Y cups
- Oats: Z cups × 2.5 = 2.5Z cups
- Butter: A cups × 2.5 = 2.5A cups
Therefore, for 2 1/2 batches of apple crisp, Elizabeth will need 10 cups of apple slices, 2.5 times the amount of each of the remaining ingredients.
2. Since Elizabeth realized her mistake and decided to make a double batch instead, we need to calculate the amount of each ingredient needed for a double batch.
Using addition, we can simply add double the amount of each ingredient required for one batch.
Let's say the ingredient list for one batch of apple crisp is as follows:
- 4 cups of apple slices
- X cups of sugar
- Y cups of flour
- Z cups of oats
- A cups of butter
To get the amounts needed for a double batch, we can simply add the amounts:
- Apple slices: 4 cups + 4 cups = 8 cups
- Sugar: X cups + X cups = 2X cups
- Flour: Y cups + Y cups = 2Y cups
- Oats: Z cups + Z cups = 2Z cups
- Butter: A cups + A cups = 2A cups
Therefore, for a double batch of apple crisp, Elizabeth will need 8 cups of apple slices and double the amount of each of the remaining ingredients.