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.
I’m stuck on this problem. Can someone please help me with this problem?
What ratio tables? Cannot copy and paste here.
Sure! I can help you with this problem. To find equivalent rates of loads washed per dollar for the two brands of laundry detergent, we need to divide the number of loads washed by the cost of the detergent.
Let's start with Brand A:
The box of Brand A laundry detergent washes 20 loads of laundry and costs $6.
To find the rate of loads washed per dollar, we divide the number of loads washed (20) by the cost ($6):
Rate for Brand A = 20 loads / $6
Simplifying the rate, we get:
Rate for Brand A = 10/3 loads per dollar
Now, let's move on to Brand B:
The box of Brand B laundry detergent washes 15 loads of laundry and costs $5.
To find the rate of loads washed per dollar, we divide the number of loads washed (15) by the cost ($5):
Rate for Brand B = 15 loads / $5
Simplifying the rate, we get:
Rate for Brand B = 3 loads per dollar
Now that we have calculated the rates for Brand A and Brand B, we can create a ratio table to find equivalent rates.
Here's an example of a ratio table:
Loads washed (x) | Cost (y) | Rate (x/y)
-----------------------------------------
10 | $3 | 10/3 loads per dollar (Brand A)
15 | $5 | 3 loads per dollar (Brand B)
5 | $1.67 | 3 loads per dollar (Brand B)
8 | $2.67 | 3 loads per dollar (Brand B)
To fill in the table, you can choose different values for the number of loads washed (x) and calculate the cost (y) accordingly. However, it's important to note that the rate for Brand A (10/3 loads per dollar) will remain the same, as it is based on the properties of Brand A detergent.
I hope this explanation helps you with your problem! Let me know if you have any further questions.