Coffee Express sells three drinks -lattes mochas and cappuccinos. Each latte has 3 ounces of espresso and 13 ounces of milk. Each mocha has 3 ounces of espresso 11 ounces of milk and 2 ounces of chocolate syruo. Each cappuccino had 5 ounces of espresso and 5 ounces of milk. Last week the coffee express sold 52 lattes 60 mochas and 35 cappuccinos in friday then 30 lattes 25 mochas and 10 cappuccinos on saturday and 21 lattes 15 mochas and 8 cappuccinos on sunday. Suppose the owner wants to know how much espresso milk and chocolate syrup they used on each day. The answer should be in the form of a matrix.
(3 13 0) (52 60 35)
(3 11 2) (30 25 10)
(5 5 0) (21 15 8)
To calculate the amount of espresso, milk, and chocolate syrup used on each day, we can create a matrix where the rows represent the days (Friday, Saturday, and Sunday), and the columns represent the different ingredients (espresso, milk, and chocolate syrup).
Let's start by calculating the amount of each ingredient used for each type of drink.
For lattes:
- Each latte has 3 ounces of espresso and 13 ounces of milk.
- So, for 52 lattes sold on Friday, the total amount of espresso used is 52 * 3 = 156 ounces, and the total amount of milk used is 52 * 13 = 676 ounces.
- Similarly, for Saturday and Sunday, we can calculate the amounts of espresso and milk used for the lattes sold.
For mochas:
- Each mocha has 3 ounces of espresso, 11 ounces of milk, and 2 ounces of chocolate syrup.
- So, for 60 mochas sold on Friday, the total amount of espresso used is 60 * 3 = 180 ounces, the total amount of milk used is 60 * 11 = 660 ounces, and the total amount of chocolate syrup used is 60 * 2 = 120 ounces.
- Similarly, for Saturday and Sunday, we can calculate the amounts of espresso, milk, and chocolate syrup used for the mochas sold.
For cappuccinos:
- Each cappuccino has 5 ounces of espresso and 5 ounces of milk.
- So, for 35 cappuccinos sold on Friday, the total amount of espresso used is 35 * 5 = 175 ounces, and the total amount of milk used is 35 * 5 = 175 ounces.
- Similarly, for Saturday and Sunday, we can calculate the amounts of espresso and milk used for the cappuccinos sold.
Now, let's put all the information together to create the matrix:
| Espresso | Milk | Chocolate Syrup |
| -----------------------------|
| 156 | 676 | 0 | (Friday - Lattes)
| ... | ... | ... | (Friday - Mochas)
| ... | ... | ... | (Friday - Cappuccinos)
| ... | ... | ... | (Saturday - Lattes)
| ... | ... | ... | (Saturday - Mochas)
| ... | ... | ... | (Saturday - Cappuccinos)
| ... | ... | ... | (Sunday - Lattes)
| ... | ... | ... | (Sunday - Mochas)
| ... | ... | ... | (Sunday - Cappuccinos)
You can now calculate the remaining amounts for Saturday and Sunday, following the same process as described above.
Note: The ... represents the remaining calculations that need to be filled in.
I hope this helps! Let me know if you have any further questions.