To find the cost of 11 kg of beef when 3 kg costs [tex]$36, let's perform the calculations step-by-step.
1. Determine the Cost per Kilogram:
First, we need to determine the cost per kilogram of beef. Since we know the cost of 3 kg, we can find the cost per kg by dividing the total cost by the weight.
\[
\text{Cost per kg} = \frac{\text{Total cost for 3 kg}}{\text{Weight in kg}} = \frac{36}{3}
\]
\[
\text{Cost per kg} = 12
\]
This tells us that each kilogram of beef costs $[/tex]12.
2. Calculate the Cost for 11 kg:
Now that we know the cost per kilogram, we can calculate the cost for 11 kg. To do this, we multiply the cost per kilogram by the weight we are interested in.
[tex]\[
\text{Cost for 11 kg} = \text{Cost per kg} \times \text{Weight we want to find cost for}
\][/tex]
[tex]\[
\text{Cost for 11 kg} = 12 \times 11
\][/tex]
[tex]\[
\text{Cost for 11 kg} = 132
\][/tex]
Therefore, the cost of 11 kg of beef is $132.
