A 7 4/5 ounce can of cat food costs 38 cents. What is the unit rate (price per ounce) of the cat food?
7 4/5 = 7.8
$.38 divided by 7.8 will give you the price per ounce.
To find the unit rate (price per ounce) of the cat food, you need to divide the total cost by the number of ounces.
Total Cost: 38 cents
Number of ounces: 7 4/5
Convert the mixed number to an improper fraction:
7 4/5 = (7 * 5 + 4) / 5 = 39/5
Now, divide the cost by the number of ounces:
Unit rate = Total cost / Number of ounces
Unit rate = 38 cents / 39/5 ounces
To divide by a fraction, you can multiply by its reciprocal:
Unit rate = 38 cents * 5/39 ounces
Multiply the numerators and denominators:
Unit rate = (38 * 5) / (1 * 39) cents/ounce
Simplify the expression:
Unit rate = 190/39 cents/ounce
The unit rate (price per ounce) of the cat food is approximately 4.87 cents/ounce.
To find the unit rate, which is the price per ounce, you'll need to divide the total cost by the total weight. In this case, the total cost of the cat food is 38 cents, and the total weight is 7 4/5 ounces. Here's how you can calculate the unit rate:
Step 1: Convert the mixed number to an improper fraction:
7 4/5 = (7 * 5 + 4) / 5 = (35 + 4) / 5 = 39/5
Step 2: Divide the total cost by the total weight:
38 cents / (39/5) ounces = 38 / (39/5)
Step 3: Invert the divisor (flip the fraction) and multiply:
38 / (39/5) = 38 * (5/39)
Step 4: Simplify the fraction and calculate the unit rate:
38 * 5 / 39 = 190 / 39
So, the unit rate (price per ounce) of the cat food is 190/39, or approximately 4.87 cents per ounce.