2. Sylvia has 6 1/2 boxes of chocolate to share at a family picnic. If she gives each person 1/3 of a box, how many people can receive chocolate?
13, 17, 19, or 21?
I believe that the answer is 19. Take 6 1/2, divided by 1/3, and get 19 1/2. Since 19 is the closest answer, the answer is 19..
Am I right, or wrong?
The correct answer is actually 19 1\2 but to simplify that, it's 19
You are correct. If Sylvia has 6 1/2 boxes of chocolate and she gives each person 1/3 of a box, you would divide 6 1/2 by 1/3 to determine how many people can receive chocolate.
When you divide 6 1/2 by 1/3, you get 19 1/2. Since you cannot have half a person, the closest whole number is 19. Therefore, the answer is 19. Well done!
You are partially correct. To find the correct answer, we need to divide the number of boxes of chocolate Sylvia has (6 1/2) by the amount each person will receive (1/3 of a box).
To do this, we convert the mixed number 6 1/2 to an improper fraction:
6 1/2 = (6 * 2 + 1) / 2 = 13/2
Now we can divide 13/2 by 1/3:
(13/2) / (1/3) = (13/2) * (3/1) = (13 * 3) / (2 * 1) = 39/2
The result is 39/2, which means that there are 39 halves of boxes available to distribute.
To find out how many whole boxes we have, we divide the numerator (39) by the denominator (2):
39 / 2 = 19 remainder 1
So, we have 19 whole boxes available and 1/2 of a box remaining.
Now, since each person can only receive a whole box, we take the whole number, which is 19, to determine how many people can receive chocolate.
Therefore, the correct answer is 19 people.