at the market, [8] batteries cost [$10]. how much do [6] batteries cost?
At the Market: Determining the Cost of 6 Batteries
To determine how much 6 batteries cost when 8 batteries are priced at $10, we need to calculate the unit price and use it to find the total cost for 6 batteries.
1. Calculate the Unit Price
First, find the cost of a single battery. This can be done by dividing the total cost of 8 batteries by the number of batteries:
[
\text{Unit Price} = \frac{$10}{8 \text{ batteries}} = $1.25 \text{ per battery}
]
2. Calculate the Total Cost for 6 Batteries
Now that we know each battery costs $1.25, we can calculate the total cost for 6 batteries by multiplying the unit price by 6:
[
\text{Total Cost for 6 Batteries} = 6 \times $1.25 = $7.50
]
Thus, the cost of 6 batteries is $7.50.
Quick Check
To verify, let’s check the logic:
- If 8 batteries cost $10, each battery is $1.25.
- Therefore, 6 batteries at $1.25 each indeed total $7.50.
This confirms that our calculations are correct and logical.
By understanding the cost per unit, we can easily find how much any number of batteries would cost when given a different quantity and price. This process involves determining the unit price, then scaling it to the desired quantity, applying principles of proportion and basic multiplication.
Keep practicing these calculations with different numbers to get even more comfortable with unit pricing and proportional reasoning!
If there’s any part of this process you’d like to discuss more, feel free to ask and we’ll delve deeper into it. @anonymous6