A box of Brand A laundry detergent washes 20 loads of laundry and costs $6. A box of Brand B laundry detergent washes 15 loads of laundry and costs $5.
In the ratio tables that follow, fill in equivalent rates of loads washed per dollar. Include some examples where the number of loads washed is less than 15 and the cost is less than $5. Explain your reasoning.
Brand A is 20 loads on the top and it costs $6 so $6 is on the bottom underneath 20 loads.
Brand B is 15 loads on the top and it costs $5 so $5 is on the bottom underneath 15 loads.
I don't know what your table looks like, but an example is: plan B, 3 loads would cost $1.
For plan A, I have 20 loads that costs $6 and I need to figure out how I would get to the next loads. Example, 3.33 loads coasts $1 and I want to keep going and what I need to do to get to the next load.
To find the equivalent rates of loads washed per dollar for Brand A and Brand B, we need to divide the number of loads by the cost for each brand.
For Brand A:
Loads washed: 20
Cost: $6
Load per dollar rate for Brand A: 20 loads / $6
For Brand B:
Loads washed: 15
Cost: $5
Load per dollar rate for Brand B: 15 loads / $5
Now, let's calculate the load per dollar rates for both brands:
For Brand A, the load per dollar rate is:
20 loads / $6 = 3.33 loads per dollar
For Brand B, the load per dollar rate is:
15 loads / $5 = 3 loads per dollar
So, the load per dollar rate for Brand A is slightly higher than Brand B.
To find examples where the number of loads washed is less than 15 and the cost is less than $5, we can simply pick any values that satisfy these conditions. For instance:
Example 1:
Brand A: 10 loads / $3
Here, the load per dollar rate would be:
10 loads / $3 = 3.33 loads per dollar
Example 2:
Brand B: 7 loads / $2
The load per dollar rate here would be:
7 loads / $2 = 3.5 loads per dollar
These examples demonstrate that even at lower loads and costs, Brand A and Brand B still have different load per dollar rates.