1) Sylvia has six and one-half boxes of chocolate to share at a family picnic. If she gives each person one-third of a box, how many people can receive chocolate?
A. 13
B. 17
C. 19
D. 21
(13 / 2) / (1 / 3) = ?
(6 1/2) ÷ 1/3 = 13/2 * 3/1 = 39/2 = 19 1/2
To find out how many people can receive chocolate, you need to divide the total number of boxes of chocolate Sylvia has by the amount of chocolate each person will receive.
To solve this problem, follow these steps:
Step 1: Convert the mixed number "six and one-half" into a fraction. Six and one-half can be written as 6 + 1/2, which is the same as 12/2 + 1/2 = 13/2.
Step 2: Divide 13/2 (number of boxes) by 1/3 (amount of chocolate each person will receive).
13/2 ÷ 1/3
To divide fractions, multiply the first fraction by the reciprocal of the second fraction (i.e., flip the second fraction).
13/2 ÷ 1/3 = 13/2 * 3/1
Step 3: Multiply the numerators (top numbers) together and multiply the denominators (bottom numbers) together.
13 * 3 / 2 * 1 = 39/2
Step 4: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case.
39/2 ÷ 1/1 = 39/2
Step 5: The resulting fraction, 39/2, represents the number of people who can receive chocolate. However, the number of people should be a whole number, not a fraction. To convert the fraction into a whole number, divide the numerator by the denominator and round up to the nearest whole number.
39 ÷ 2 ≈ 19.5
Therefore, approximately 19 people can receive chocolate.
The correct answer is C. 19.