Beth may and Jane weighs 160 kg altogether if their weight are in the ratio 5:4:2 find the weight of each person

Given that the weights of Beth, May, and Jane are in the ratio 5:4:2 and their total weight is 160 kg, we need to find the individual weight of each person.

### Step 1: Define the weights
Let the weights of Beth, May, and Jane be \(5x\), \(4x\), and \(2x\) respectively.

### Step 2: Set up the equation
Since their total weight is 160 kg, we have:
\[
5x + 4x + 2x = 160
\]

### Step 3: Simplify the equation
Combine the terms on the left side:
\[
11x = 160
\]

### Step 4: Solve for \(x\)
\[
x = \frac{160}{11} \approx 14.55 \text{ kg}
\]

### Step 5: Calculate individual weights
- **Beth's weight** = \(5x = 5 \times 14.55 = 72.75\) kg
- **May's weight** = \(4x = 4 \times 14.55 = 58.2\) kg
- **Jane's weight** = \(2x = 2 \times 14.55 = 29.1\) kg

So, the weights of Beth, May, and Jane are approximately **72.75 kg**, **58.2 kg**, and **29.1 kg** respectively.

Do you want any more details or have any questions?

### Related Questions:
1. How would the total weight change if the ratio were different?
2. What if their total weight was 200 kg? How would their individual weights change?
3. How do ratios help in determining proportions in real-life situations?
4. Can you provide an example of a similar problem with different total weight and ratio?
5. How would you check if the given ratio was incorrect?
6. What if Beth’s weight was fixed? How would you find May and Jane's weights?
7. Can you express the ratio as a percentage of the total weight?
8. What other mathematical concepts can be applied to this type of problem?

**Tip:** Understanding ratios is crucial when dividing a quantity into proportional parts. This skill is widely applicable in budgeting, cooking, and many real-world scenarios.

Learn how to calculate the individual weights of Beth, May, and Jane using their given ratio and total weight. This problem covers ratio and proportion concepts, involving a step-by-step solution to find each person's weight. Suitable for students in Grades 7-9.

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