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.
I think it would be easier on a spreadsheet.
horizontal: days of week
vertical: type of drink
then, on a new row, choc, expreso, milk totals
Fri Sat SUn
latte 52 30 21
Mochas 60 25 15
Cappuch 35 10 8
expresso511 215 148 Totals: 874oz
milk 1511 715 478 Totals: 2704oz choc oz 120 50 30 Totals: 200oz
I think it would be easier on a spreadsheet.
horizontal: days of week
vertical: type of drink
then, on a new row, choc, expreso, milk totals
Fri Sat SUn
latte 52 30 21
Mochas 60 25 15
Cappuch 35 10 8
expresso511 215 148 Totals: 874oz
milk 1511 715 478 Totals: 2704oz
choc oz120 50 30 Totals: 200oz
To calculate the amount of ingredients used each day, we need to multiply the number of each type of drink sold by the amount of each ingredient required for that drink. Then, we can organize the information in the form of a matrix.
Let's start by calculating the ingredients used on Friday:
- For lattes: 52 lattes * (3 ounces of espresso + 13 ounces of milk) = 780 ounces of espresso and 676 ounces of milk.
- For mochas: 60 mochas * (3 ounces of espresso + 11 ounces of milk + 2 ounces of chocolate syrup) = 1020 ounces of espresso, 660 ounces of milk, and 120 ounces of chocolate syrup.
- For cappuccinos: 35 cappuccinos * (5 ounces of espresso + 5 ounces of milk) = 175 ounces of espresso and 175 ounces of milk.
So, the ingredient usage on Friday can be represented by the matrix:
| Espresso | Milk | Chocolate Syrup |
|----------|------|----------------|
| 780 | 676 | 120 |
| 1020 | 660 | 120 |
| 175 | 175 | 0 |
Now let's do the same for Saturday:
- For lattes: 30 lattes * (3 ounces of espresso + 13 ounces of milk) = 450 ounces of espresso and 390 ounces of milk.
- For mochas: 25 mochas * (3 ounces of espresso + 11 ounces of milk + 2 ounces of chocolate syrup) = 425 ounces of espresso, 275 ounces of milk, and 50 ounces of chocolate syrup.
- For cappuccinos: 10 cappuccinos * (5 ounces of espresso + 5 ounces of milk) = 50 ounces of espresso and 50 ounces of milk.
So, the ingredient usage on Saturday can be represented by the matrix:
| Espresso | Milk | Chocolate Syrup |
|----------|------|----------------|
| 450 | 390 | 0 |
| 425 | 275 | 50 |
| 50 | 50 | 0 |
Finally, let's calculate the ingredient usage on Sunday:
- For lattes: 21 lattes * (3 ounces of espresso + 13 ounces of milk) = 315 ounces of espresso and 273 ounces of milk.
- For mochas: 15 mochas * (3 ounces of espresso + 11 ounces of milk + 2 ounces of chocolate syrup) = 255 ounces of espresso, 165 ounces of milk, and 30 ounces of chocolate syrup.
- For cappuccinos: 8 cappuccinos * (5 ounces of espresso + 5 ounces of milk) = 40 ounces of espresso and 40 ounces of milk.
So, the ingredient usage on Sunday can be represented by the matrix:
| Espresso | Milk | Chocolate Syrup |
|----------|------|----------------|
| 315 | 273 | 0 |
| 255 | 165 | 30 |
| 40 | 40 | 0 |
Therefore, the matrix representation of the ingredient usage for each day is:
Friday:
| Espresso | Milk | Chocolate Syrup |
|----------|------|----------------|
| 780 | 676 | 120 |
| 1020 | 660 | 120 |
| 175 | 175 | 0 |
Saturday:
| Espresso | Milk | Chocolate Syrup |
|----------|------|----------------|
| 450 | 390 | 0 |
| 425 | 275 | 50 |
| 50 | 50 | 0 |
Sunday:
| Espresso | Milk | Chocolate Syrup |
|----------|------|----------------|
| 315 | 273 | 0 |
| 255 | 165 | 30 |
| 40 | 40 | 0 |