Final answer:
By understanding and calculating the parts of the given ratio 2:7, we find that the cafe sold approximately 10.88 cartons of chocolate milk, which we round down to 10 cartons, as we cannot have a fraction of a carton.
Step-by-step explanation:
To determine how many cartons of chocolate milk were sold on Sunday at the cafe given that 49 cartons of milk in total were sold, and the ratio of cartons of chocolate milk to the total number of cartons is 2:7, we can proceed with the following steps:
- Understand the ratio: The ratio 2:7 means that for every 7 cartons of milk sold, 2 of those are chocolate milk.
- Calculate the total parts in the ratio: The ratio has 2 parts chocolate milk + 7 parts total milk = 9 parts.
- Determine one part's value: Since 49 cartons were sold and the ratio has 9 parts, one part equals 49 cartons ÷ 9 parts = 5.44 cartons.
- Find the number of chocolate milk cartons: Since the ratio of chocolate milk is 2 parts, we multiply the value of one part by 2: 5.44 cartons × 2 = approximately 10.88 cartons of chocolate milk.
However, because we cannot sell a fraction of a carton of milk, we need to round down to the nearest whole number. Therefore, the cafe sold 10 cartons of chocolate milk. (When working with whole items like cartons of milk, the result should be a whole number.)