A person who weighs 100 kilograms on Earth would weigh 161 over 2 kilograms on the Moon. Determine how much a child who weighs 301 over 2 kilograms on Earth would weigh on the Moon.

To determine how much a child who weighs \(\frac{301}{2}\) kilograms on Earth would weigh on the Moon, we first need to establish the relationship between Earth and Moon weights.

### Step 1: Find the Earth-to-Moon weight ratio

We know:

- A person who weighs 100 kg on Earth weighs \(\frac{161}{2}\) kg on the Moon.

First, let's convert \(\frac{161}{2}\) to a decimal:

\[
\frac{161}{2} = 80.5 \text{ kg}
\]

So, the weight on the Moon is 80.5 kg when the weight on Earth is 100 kg.

Now, calculate the Earth-to-Moon weight ratio:

\[
\text{Ratio} = \frac{80.5}{100} = 0.805
\]

### Step 2: Calculate the child’s weight on the Moon

The child's weight on Earth is \(\frac{301}{2}\) kg. Convert this to a decimal:

\[
\frac{301}{2} = 150.5 \text{ kg}
\]

Now, use the ratio to find the weight on the Moon:

\[
\text{Weight on the Moon} = 150.5 \times 0.805
\]

Let's perform the multiplication:

\[
150.5 \times 0.805 = 121.6525 \text{ kg}
\]

### Final Answer

The child would weigh approximately **121.65 kg** on the Moon.

Would you like more details, or do you have any questions? 

Here are some related questions:
1. How is the weight ratio between Earth and Moon determined?
2. What is the formula for converting weights between planets?
3. How does gravity affect weight on different celestial bodies?
4. What would be the Moon weight of someone who weighs 70 kg on Earth?
5. How would you calculate the weight on Mars given its gravity ratio?

**Tip:** Weight is different from mass; weight depends on gravity, while mass is constant regardless of location.

Learn how to calculate the weight of a child who weighs 301/2 kg on Earth when on the Moon. This problem uses the Earth-to-Moon weight ratio and includes step-by-step calculations suitable for students in Grades 6-8.

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