A bottle of soda contains 360 ml. (a) How many ml are contained in a six-bottle carton? (b) How many liters does the amount in part (a) equal? (c) At $2.45 for the carton of soda, what is its cost per liter?
The Correct Answer and Explanation is:
Let’s solve each part of the question step by step.
(a) How many milliliters are contained in a six-bottle carton?
Each bottle contains 360 milliliters (ml).
To find the total volume in a six-bottle carton:360 ml×6=2160 ml360 \, \text{ml} \times 6 = 2160 \, \text{ml}360ml×6=2160ml
Answer to part (a): 2160 ml
(b) How many liters does the amount in part (a) equal?
There are 1000 milliliters in 1 liter.
To convert 2160 ml to liters:21601000=2.16 liters\frac{2160}{1000} = 2.16 \, \text{liters}10002160=2.16liters
Answer to part (b): 2.16 liters
(c) At $2.45 for the carton of soda, what is its cost per liter?
The cost for 2.16 liters is $2.45.
To find the cost per liter:2.452.16≈1.1343 dollars per liter\frac{2.45}{2.16} \approx 1.1343 \, \text{dollars per liter}2.162.45≈1.1343dollars per liter
Rounding to the nearest cent:
Answer to part (c): Approximately $1.13 per liter
Explanation
This question involves basic unit conversions and division to find cost per unit. It begins with a known quantity — 360 ml of soda in one bottle. To determine the volume in a six-pack, we multiply this amount by 6. The result, 2160 ml, is the total amount of soda in the carton.
The next part asks for a conversion from milliliters to liters. Since there are 1000 ml in 1 liter, dividing the total milliliters by 1000 gives the equivalent in liters. This is a standard metric conversion used in many real-life situations, such as cooking, medicine, or when comparing prices in stores.
Once we know the total volume in liters, we can calculate the cost per liter by dividing the total price of the carton ($2.45) by the total volume in liters (2.16). This gives us a unit price, which is useful when comparing prices of different beverages sold in varying sizes. The resulting value tells us that the cost of the soda is roughly $1.13 per liter.
This kind of calculation is practical in everyday life. It helps consumers make better financial decisions when choosing products, especially when items are sold in different packaging or sizes. Understanding unit price allows for direct comparison, leading to smarter purchases.
