the total capacity of 1 carton is the same as the total capacity of 2 identical cups. If 1.8 liters of water are needed to fill up 3 identical cups and 2 identical cartons, what is the capacity of a cup? express your answer correct to 2 decimal places
Let x = capacity of carton
Let y = capacity of cup
According to the first statement of the problem,
x = 2y
According to the second statement,
1.8 = 3y + 2x
Now, we have the equations. What we'll do is substitute the first equation to the second:
1.8 = 3y + 2(2y)
1.8 = 3y + 4y
1.8 = 7y
y = 1.8/7
y = 0.26 L
Hope this helps :)
To find the capacity of one cup, we first need to determine the total capacity of 3 cups and 2 cartons. From the information given, we know that:
1 carton = 2 cups
Therefore, the total capacity of 2 cartons is equal to the total capacity of (2 * 2) = 4 cups.
We are also given that 1.8 liters of water are needed to fill up 3 identical cups and 2 identical cartons.
Thus, the total capacity of 3 cups and 2 cartons is 1.8 liters.
To find the capacity of one cup, we need to divide this total capacity by the number of cups:
Total capacity / Number of cups = Capacity of one cup
1.8 liters / 4 cups = 0.45 liters
Therefore, the capacity of one cup is 0.45 liters, rounded to 2 decimal places.
To find the capacity of a cup, we need to break down the given information and use some basic math. Let's go step by step:
1. We know that the total capacity of 1 carton is the same as the total capacity of 2 identical cups. Let's say the capacity of one cup is 'C' liters. Therefore, the capacity of one carton is 2C liters.
2. We are told that 1.8 liters of water are needed to fill up 3 identical cups and 2 identical cartons. So, we can set up the following equation to represent the given information:
3C + 2(2C) = 1.8
Simplifying this equation, we get:
3C + 4C = 1.8
Combining like terms:
7C = 1.8
3. To find the capacity of a single cup, we need to divide both sides of the equation by 7:
C = 1.8 / 7
Evaluating this, we get:
C ≈ 0.2571
4. Since the question asks for the answer to be rounded to 2 decimal places, the capacity of a cup is approximately 0.26 liters.
Therefore, the capacity of a cup is approximately 0.26 liters.