To determine the cost of 11 apples when we know that the total cost of 4 apples is [tex]$10, we should follow a systematic approach which includes calculating the cost per apple and then using that unit cost to find the cost for 11 apples. Here's the detailed, step-by-step solution:
### Step 1: Calculate the cost per apple
First, we need to find out how much one apple costs. We can do this by dividing the total cost of the apples by the number of apples.
\[ \text{Total cost} = \$[/tex]10 \]
[tex]\[ \text{Total number of apples} = 4 \][/tex]
So, the cost per apple is:
[tex]\[ \text{Cost per apple} = \frac{\text{Total cost}}{\text{Total number of apples}} \][/tex]
[tex]\[ \text{Cost per apple} = \frac{10}{4} \][/tex]
[tex]\[ \text{Cost per apple} = \$2.50 \][/tex]
### Step 2: Calculate the cost for 11 apples
Now that we know the cost per apple, we can use this information to find out how much 11 apples will cost.
[tex]\[ \text{Number of apples needed} = 11 \][/tex]
[tex]\[ \text{Cost per apple} = \$2.50 \][/tex]
The total cost for 11 apples is:
[tex]\[ \text{Total cost for 11 apples} = \text{Number of apples} \times \text{Cost per apple} \][/tex]
[tex]\[ \text{Total cost for 11 apples} = 11 \times 2.50 \][/tex]
[tex]\[ \text{Total cost for 11 apples} = \$27.50 \][/tex]
### Conclusion
The cost of 11 apples is $27.50.
