My mother bought three- seventh of a kilogram of lamb for $6.60.What was the price of 5kilograms of lamb

To find the price of 5 kilograms of lamb, let’s first determine the cost per kilogram.

1. We know that three-sevenths (3/7) of a kilogram of lamb costs $6.60.
2. To find the price of one kilogram, divide $6.60 by $ \frac{3}{7} $:

\[
\text{Price per kilogram} = \frac{6.60}{\frac{3}{7}} = 6.60 \times \frac{7}{3} = 6.60 \times 2.3333 = 15.40
\]

3. Now, we can find the cost of 5 kilograms by multiplying the price per kilogram by 5:

\[
\text{Cost of 5 kilograms} = 15.40 \times 5 = 77.00
\]

So, the price of 5 kilograms of lamb is **$77.00**.

Would you like further details on any step? 

Here are related questions you might consider:
1. What if she bought half a kilogram instead?
2. How would the price change if she bought twice as much?
3. What’s the cost for 10 kilograms of lamb?
4. How would the equation look if only two-sevenths of a kilogram were bought?
5. How does the cost scale with fractional amounts?

**Tip:** When dealing with fractional costs, convert to unit price first—it makes scaling simpler!

My mother bought three-sevenths of a kilogram of lamb for $6.60. What was the price of 5 kilograms of lamb?

Discover how to determine the price of 5 kilograms of lamb using proportional reasoning. This problem involves calculating the unit price from a fractional amount (3/7 of a kilogram costing $6.60) and scaling it to find the total cost. Ideal for students in Grades 6-8.

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