A pineapple is 7 times as heavy as an orange. The pineapple weighs 945 grams. What is the total weight in grams for the pineapple and orange? Express the total weight of the pineapple and orang in kilograms.
The Correct Answer and Explanation is :
To solve this problem, we first need to determine the weight of the orange, then add it to the weight of the pineapple to find the total weight of both fruits. Finally, we will convert the total weight from grams to kilograms.
Step 1: Find the weight of the orange
The problem states that the pineapple is 7 times as heavy as the orange. We know the weight of the pineapple is 945 grams. Therefore, to find the weight of the orange, we divide the weight of the pineapple by 7: Weight of orange=Weight of pineapple7=945 grams7=135 grams\text{Weight of orange} = \frac{\text{Weight of pineapple}}{7} = \frac{945 \, \text{grams}}{7} = 135 \, \text{grams}
So, the weight of the orange is 135 grams.
Step 2: Find the total weight in grams
Now, we need to find the total weight of both the pineapple and the orange. To do this, we simply add their individual weights: Total weight in grams=Weight of pineapple+Weight of orange=945 grams+135 grams=1080 grams\text{Total weight in grams} = \text{Weight of pineapple} + \text{Weight of orange} = 945 \, \text{grams} + 135 \, \text{grams} = 1080 \, \text{grams}
Thus, the total weight of the pineapple and the orange combined is 1080 grams.
Step 3: Convert the total weight to kilograms
To convert grams to kilograms, we divide by 1000 since there are 1000 grams in one kilogram: Total weight in kilograms=1080 grams1000=1.08 kilograms\text{Total weight in kilograms} = \frac{1080 \, \text{grams}}{1000} = 1.08 \, \text{kilograms}
Final Answer:
The total weight of the pineapple and the orange is 1.08 kilograms.
Explanation:
This problem uses basic multiplication, division, and unit conversion. We first used the information that the pineapple weighs 7 times as much as the orange to find the weight of the orange. Then, we added the weight of both fruits to get the total weight in grams. Finally, we converted the total weight from grams to kilograms to get the final answer.