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?
(1 point)
Responses
13
13
17
17
19
19
21
To find the number of people who can receive chocolate, we need to divide the total number of boxes by the amount each person gets.
Total number of boxes = 6.5
Amount each person gets = 1/3
Number of people who can receive chocolate = 6.5 / (1/3)
To divide by a fraction, we can multiply by its reciprocal.
Number of people who can receive chocolate = 6.5 * (3/1)
Number of people who can receive chocolate = 19.5
Therefore, 19 people can receive chocolate.
To find out how many people can receive chocolate, we need to divide the number of boxes by the quantity given to each person.
Given: Sylvia has six and one-half boxes of chocolate.
Each person receives one-third of a box.
To find the number of people who can receive chocolate, we divide the total number of boxes by the amount given to each person.
6 and 1/2 ÷ 1/3
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
6 and 1/2 × 3/1 = 13/2 × 3/1
When multiplying fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers).
(13 × 3) / (2 × 1) = 39/2
To simplify the fraction, we can divide the numerator by the denominator.
39 ÷ 2 = 19 remainder 1
So, 39/2 is equal to 19 and 1/2.
Therefore, Sylvia can give chocolate to 19 people, with 1/2 of a box remaining.