The Brock family uses a 12-cup coffee maker, which leaks. For every 6 cup of coffee brewed, 1/12 cup leaks out. Mrs. Brock makes a full pot. If 4 coffee drinkers receive the same amount, how many cups (use a mixed number) will each individual receive?
2/12 or 1/6 cup leaks out so 11 5/6 are left
11 5/6 = 69/6
(69/6)/4 = 69/24 = 2 21/24 = 2 7/8 each
To find out how many cups each individual will receive, we need to calculate the total amount of coffee brewed and subtract the amount that leaks out. Then, we can divide the remaining amount by the number of coffee drinkers.
First, let's find out how much coffee is brewed in total. The Brock family uses a 12-cup coffee maker, so when Mrs. Brock makes a full pot, it means she brews 12 cups of coffee.
Next, we need to determine how much coffee leaks out. According to the information provided, for every 6 cups of coffee brewed, 1/12 cup leaks out. Since Mrs. Brock is brewing a full pot of 12 cups, we can calculate the amount that leaks out as follows:
(12 cups / 6 cups) * (1/12 cup) = 1/2 cup
So, 1/2 cup of coffee will leak out in total.
Now, let's subtract the amount that leaks out from the total amount brewed:
12 cups - 1/2 cup = 23/2 cups
Therefore, the total amount of coffee remaining after the leakage is 23/2 cups.
Since there are 4 coffee drinkers who will receive the same amount, we can divide the remaining coffee equally among them:
(23/2 cups) ÷ 4 = 23/2 ÷ 4 = 23/8
Hence, each individual will receive 23/8 cups of coffee.