6 sacks of potatoes weigh 122.4 kg and 4 sacks of onions weigh 50 kg. What is the total weight of 1 sack of potatoes and 1 sack of onions
The Correct Answer and Explanation is:
To determine the total weight of 1 sack of potatoes and 1 sack of onions, we will first calculate the weight of each individual sack.
Step 1: Calculate the weight of 1 sack of potatoes
From the given information, we know that 6 sacks of potatoes weigh 122.4 kg. To find the weight of 1 sack of potatoes, we simply divide the total weight by 6:Weight of 1 sack of potatoes=122.4 kg6=20.4 kg\text{Weight of 1 sack of potatoes} = \frac{122.4 \, \text{kg}}{6} = 20.4 \, \text{kg}Weight of 1 sack of potatoes=6122.4kg=20.4kg
So, the weight of 1 sack of potatoes is 20.4 kg.
Step 2: Calculate the weight of 1 sack of onions
Similarly, we are told that 4 sacks of onions weigh 50 kg. To find the weight of 1 sack of onions, we divide the total weight by 4:Weight of 1 sack of onions=50 kg4=12.5 kg\text{Weight of 1 sack of onions} = \frac{50 \, \text{kg}}{4} = 12.5 \, \text{kg}Weight of 1 sack of onions=450kg=12.5kg
So, the weight of 1 sack of onions is 12.5 kg.
Step 3: Calculate the total weight of 1 sack of potatoes and 1 sack of onions
Now that we know the weight of each sack, we can add the two together to find the total weight of 1 sack of potatoes and 1 sack of onions:Total weight=20.4 kg+12.5 kg=32.9 kg\text{Total weight} = 20.4 \, \text{kg} + 12.5 \, \text{kg} = 32.9 \, \text{kg}Total weight=20.4kg+12.5kg=32.9kg
Thus, the total weight of 1 sack of potatoes and 1 sack of onions is 32.9 kg.
Explanation:
We used basic division to find the individual weight of each sack based on the total weight of the given number of sacks. This type of problem is a straightforward application of unitary methods in math, where we first find the weight of one item and then add the results together. The method can be applied to similar problems involving different quantities or types of items.
