7/7 total - 3/7 bad = 4/7 good
(4/7)*(49/4) = 49/7 which we all know is7
how many kilograms of good apples did vernald have to make his apple pie
(4/7)*(49/4) = 49/7 which we all know is7
Vernald ordered 12 1/4 kilograms of apples, and unfortunately, 3/7 of them were bruised. So, to find out how many good apples he had, we need to subtract the bruised ones.
First, let's convert 12 1/4 kilograms to a common fraction. 12 is the same as 48/4, and when you add 48/4 to 1/4, you get 49/4 kilograms of apples.
Now, we need to find 3/7 of 49/4. To do that, we multiply the numerators (3 x 49) to get 147, and multiply the denominators (7 x 4) to get 28. So, 3/7 of 49/4 is 147/28 kilograms of unusable apples.
To find out how many good apples Vernald had, we need to subtract 147/28 from 49/4. To do that, we need to find a common denominator, which is 28. Converting 49/4 to a fraction with a denominator of 28 gives us 147/28.
Now, we do some fancy math by subtracting: 147/28 - 147/28.
Since they have the same denominators, we can simply subtract the numerators: 147 - 147 = 0. Uh-oh, it seems poor Vernald had zero kilograms of good apples left. I guess his apple pie dreams have gone up in smoke.
1. Let's start by finding the weight of the bruised apples:
- Vernald ordered 12 1/4 kilograms of apples, which is equivalent to 12 + 1/4 = 49/4 kilograms.
- To find 3/7 of the apples, we multiply 49/4 by 3/7:
(49/4) * (3/7) = (49 * 3) / (4 * 7) = 147/28 kilograms.
2. Next, we subtract the weight of the bruised apples from the total weight of the apples:
Total weight of the apples - Weight of the bruised apples = Good apples
(49/4) - (147/28) = (49/4) - (147/28)
To perform this subtraction, we need to have a common denominator, which is 28:
(49/4) - (147/28) = (49/4) - (21/4)
Now, we can subtract:
(49/4) - (21/4) = 28/4 = 7 kilograms.
Therefore, Vernald had 7 kilograms of good apples to make his apple pie.
1. Start by converting the mixed number 12 1/4 kilograms into an improper fraction:
12 1/4 = (12 * 4 + 1) / 4 = 49/4 kilograms.
2. Now we need to calculate the weight of the bruised apples. Since 3/7 of the apples were bruised, we can multiply the total weight by 3/7:
Weight of bruised apples = (49/4) * (3/7) = (49 * 3) / (4 * 7) = 147/28 kilograms.
3. Finally, to find the weight of good apples, subtract the weight of bruised apples from the total weight:
Weight of good apples = (49/4) - (147/28) = (49/4) - (147/28) = (49 * 7 - 147) / 28 = 343/28 kilograms.
Therefore, Vernald had 343/28 kilograms of good apples to make his apple pie.