jamal purchased 16 1/4 pints of ice cream for a party. If each guest will be served exactly 13/16 pint of ice cream, how many guests can Jamal serve?
To solve this problem, we need to divide the total amount of ice cream that Jamal purchased by the amount of ice cream each guest will be served.
Since there are 16 1/4 pints of ice cream, this is equal to:
16 1/4 = 65/4
Each guest will be served 13/16 pint of ice cream.
So, the number of guests that Jamal can serve is:
(65/4) / (13/16) = (65/4) x (16/13) = 1040/52 = 20
Therefore, Jamal can serve 20 guests.
To find out how many guests Jamal can serve, we need to divide the total amount of ice cream by the amount each guest will be served.
1. Convert 16 1/4 pints to improper fraction:
16 + 1/4 = (16 * 4 + 1) / 4 = 65/4
2. Divide the total amount of ice cream by the amount each guest will be served:
(65/4) / (13/16) = (65/4) * (16/13) = (65 * 16) / (4 * 13) = 1040 / 52 = 20
Therefore, Jamal can serve 20 guests.
To solve this problem, we need to find out how many 13/16 pint servings are possible with 16 1/4 pints of ice cream.
First, let's convert 16 1/4 pints to an improper fraction. We multiply the whole number (16) by the denominator (4) and add the numerator (1), then write it over the original denominator. So, 16 1/4 becomes (16 * 4 + 1) / 4 = 65/4.
Now, we can divide 65/4 by 13/16 to find out how many servings can be made. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, 65/4 ÷ 13/16 becomes 65/4 * 16/13.
To multiply fractions, we simply multiply the numerators together and the denominators together. So, (65 * 16) / (4 * 13) = 1040/52.
Next, we reduce the fraction to its simplest form. Both the numerator and denominator are divisible by 8, so we divide them both by 8. The fraction becomes 130/8.
Lastly, we simplify the fraction further by dividing the numerator and denominator by their greatest common divisor, which is 2. So, 130/8 ÷ 2/2 = (130 ÷ 2) / (8 ÷ 2) = 65/4.
Therefore, Jamal can serve 65/4 pint servings of ice cream to his guests. Since each guest will be served exactly 13/16 pint of ice cream, we can divide 65/4 by 13/16 to find out how many guests can be served.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, 65/4 ÷ 13/16 becomes 65/4 * 16/13.
To multiply fractions, we multiply the numerators together and the denominators together. So, (65 * 16) / (4 * 13) = 1040/52.
Next, we simplify the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor, which is 8. So, 1040/52 ÷ 8/8 = (1040 ÷ 8) / (52 ÷ 8) = 130/8.
Finally, we divide the numerator and denominator by their greatest common divisor, which is 2. So, 130/8 ÷ 2/2 = (130 ÷ 2) / (8 ÷ 2) = 65/4.
Therefore, Jamal can serve 65/4 pint servings of ice cream, which is equivalent to 16 1/4 pints, to his guests.