How many 5 1/4 ounce juice glasses can be completely filled from a 33 1/2 ounce container of juice?
a) 4, b) 5, c) 6, d) 7
33.5/5.25 = ?
To determine the number of 5 1/4 ounce juice glasses that can be completely filled from a 33 1/2 ounce container of juice, we need to divide the total amount of juice in the container by the capacity of each glass.
First, let's convert the mixed numbers to improper fractions for easier calculations:
5 1/4 ounce = (4 × 5 + 1) / 4 = 21/4 ounce
33 1/2 ounce = (2 × 33 + 1) / 2 = 67/2 ounce
Next, we divide the total amount of juice by the capacity of each glass:
67/2 ounce ÷ 21/4 ounce
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction:
67/2 ounce × 4/21 ounce
To simplify the calculation, we can reduce the fractions first:
67/2 ounce = 33.5 ounce
4/21 ounce ≈ 0.19 ounce
Now we can perform the multiplication:
33.5 ounce × 0.19 ounce ≈ 6.365 ounce
After rounding to the nearest whole number, we find that 6 juice glasses can be completely filled from a 33 1/2 ounce container of juice.
Therefore, the correct answer is c) 6.