To find out how many bar soaps are there in a box, we can follow these steps:
1. Calculate the weight of the soap bars in the box:
- Total weight of the box with soap = 43.2 kg
- Weight of the empty box = 120 g
- Convert the weight of the empty box to kilograms: 120 g = 0.12 kg
- Weight of the soap = Total weight of the box with soap - Weight of the empty box
- Weight of the soap = 43.2 kg - 0.12 kg = 43.08 kg
2. Determine the number of soap bars in the box:
- Weight of each soap bar = 17 g = 0.017 kg
- Number of soap bars = Weight of the soap / Weight of each soap bar
- Number of soap bars = 43.08 kg / 0.017 kg = 2535
Therefore, there are 2535 soap bars in a box that weighs 43.2 kg, given that each soap bar weighs 17 g and an empty box weighs 120 g.
Answer:
2534 bars of soap
Step-by-step explanation:
To find out how many bars of soap are in the box, we need to subtract the weight of the empty box from the total weight of the box with the soap and then divide the result by the weight of each bar of soap.
Let's we calculate it:
Total weight of the box with soap = 43.2 kg
= 43.2kg × 1000 g/kg
= 43,200 g
Weight of the empty box = 120 g
Weight of soap = Total weight of the box with soap - Weight of the empty box
= 43,200 g - 120 g
= 43,080 g
Now, we divide the weight of the soap by the weight of each bar of soap:
[tex]\textsf{Number of bars of soap }=\dfrac{\textsf{ Weight of soap }}{\textsf{ Weight of each bar of soap}}[/tex]
[tex] = \sf \dfrac{43,080 g }{ 17 g}[/tex]
≈ 2534.1176470588
≈ 2534
Since we can't have a fraction of a soap bar, we would consider 2534 bars of soap in the box.
