Hot Java Coffee Company adverties their decaffeinated coffee as 97% caffeine free as compared to their regular caffeinated coffee. If a cup of coffee is 8 ounces, how many ounces of decaffeinated coffee would you have to drink to get the equivalent amount of caffeine found in two cups of regular coffee?
The decaf coffee contains 3 units of caffeine per cup (100 minus 97). The regular coffee contains 100 units of caffeine per cup. Two cups of regular coffee contains 200 units, so you would have to drink 200/3 = 66.666 cups of decaf. 66.666*8 = 533.333 ounces
-3x + 2y =2
-3x + 2y = 2
x-4y=8
Jenny received a gift card for a coffee store. She used it in buying some coffee that cost per pound. After buying the coffee, she had left on her card. How many pounds of coffee did she buy?
To determine the number of ounces of decaffeinated coffee needed to get an equivalent amount of caffeine found in two cups of regular coffee, you need to consider the caffeine content in each type of coffee.
We know that Hot Java Coffee Company advertises their decaffeinated coffee as 97% caffeine free, which means it contains 3% of the caffeine found in regular coffee.
Let's start by finding out the amount of caffeine in one cup of regular coffee:
1. Identify the caffeine content in regular coffee: We are not given the exact amount of caffeine in regular coffee, so let's assume it contains 100 units of caffeine.
2. Calculate the amount of caffeine in one cup of regular coffee: 100 units of caffeine x 1 cup of regular coffee / 1 cup of regular coffee = 100 units of caffeine.
Now, to find out how much decaffeinated coffee is needed to match the caffeine content in two cups of regular coffee:
3. Calculate the equivalent caffeine content in two cups of regular coffee: 100 units of caffeine/cup of regular coffee x 2 cups of regular coffee = 200 units of caffeine.
4. Calculate the amount of decaffeinated coffee needed to achieve the equivalent caffeine content: Since the decaffeinated coffee is 97% caffeine-free, we need to find the remaining 3% of caffeine in 200 units, which is: 200 units of caffeine x 3% = 6 units of caffeine.
5. Calculate the amount of decaffeinated coffee needed: To find the amount of decaffeinated coffee needed, we divide the caffeine content (6 units) by the caffeine percentage (3%):
6 units of caffeine / 3% = 200 units of decaffeinated coffee.
Therefore, to get the equivalent amount of caffeine found in two cups of regular coffee, you would need to drink 200 ounces of decaffeinated coffee.