Let's break down the problem step by step to figure out how many sodas a customer can purchase with [tex]$6.00, given that each soda costs $[/tex]0.75.
1. Identify the cost of one soda:
- Each soda costs [tex]$0.75.
2. Identify the total amount of money available:
- The customer has $[/tex]6.00.
3. Determine how many sodas can be purchased:
- To find this, we divide the total amount of money by the cost of one soda:
[tex]\[
\text{Number of sodas} = \frac{\text{Total money}}{\text{Cost per soda}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Number of sodas} = \frac{6.00}{0.75}
\][/tex]
4. Perform the division:
- When we divide [tex]$6.00 by $[/tex]0.75, we get:
[tex]\[
\frac{6.00}{0.75} = 8.0
\][/tex]
This means the customer can purchase 8 sodas.
5. Calculate the remaining money:
- To find out if any money is left after purchasing the sodas, we use the modulus operation to find the remainder:
[tex]\[
\text{Remaining money} = 6.00 \% 0.75
\][/tex]
When we perform this calculation, we get:
[tex]\[
6.00 \% 0.75 = 0.0
\][/tex]
Thus, there is no money left.
Summarizing the results:
- The customer can purchase 8 sodas.
- There will be no money left after the purchase.
So, with [tex]$6.00, a customer can purchase 8 sodas at $[/tex]0.75 each, and there will be $0.00 left.
