Jeremy buys a value pack of cheese crackers that contains 42 1/2 ounces of crackers. He divides this into servings of

1 1/4ounces each. What is the total number of servings Jeremy can make from the value pack?

1 answer

To find the total number of servings Jeremy can make from the value pack of cheese crackers, we need to divide the total ounces of crackers by the ounces per serving.

  1. Convert the total ounces of crackers and the serving size into improper fractions:

    • Total ounces: \( 42 \frac{1}{2} = 42 + \frac{1}{2} = \frac{84}{2} + \frac{1}{2} = \frac{85}{2} \) ounces.
    • Serving size: \( 1 \frac{1}{4} = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \) ounces.
  2. Now, divide the total number of ounces by the serving size: \[ \text{Number of servings} = \frac{85/2}{5/4} = \frac{85}{2} \times \frac{4}{5} \]

  3. Multiply the fractions: \[ = \frac{85 \times 4}{2 \times 5} = \frac{340}{10} = 34 \]

So, Jeremy can make a total of 34 servings from the value pack of cheese crackers.