.6 students shared 4 candy bars equally, and 5 students shared 3 candy bars equally. If all candy bars were the same size, which group of students got more candy bar per person?
When 6 students shared 4 candy bars equally each student has 4 / 6 candies.
4 / 6 = 2 ∙ 2 / 2 ∙ 3 = 2 / 3 = 0.666...
When 5 students shared 3 candy bars equally each student has 3 / 5 candies.
3 / 5 = 0.6
OR
4 / 6 = 2.5 ∙ 4 / 2.5 ∙ 6 = 10 / 15
3 / 5 = 3 ∙ 3 / 5 ∙ 3 = 9 / 15
This means:
4 / 6 > 3 / 5
First group of students got more candy bar per person.
To determine which group of students got more candy bar per person, we need to calculate the amount of candy bar each group received per person.
First, let's calculate the number of candy bars per student in each group.
Group 1:
Number of candy bars = 4
Number of students = 6
Candy bars per student in Group 1 = 4 / 6 = 0.67 (rounded to two decimal places)
Group 2:
Number of candy bars = 3
Number of students = 5
Candy bars per student in Group 2 = 3 / 5 = 0.6
Therefore, the group of students who got more candy bar per person is Group 1, with approximately 0.67 candy bar per student.
To compare which group of students got more candy bars per person, we need to calculate the ratio of candy bars to students for each group.
First, let's calculate the candy bars per student for the first group:
Total number of candy bars = 4
Number of students = 6
Candy bars per student = Total number of candy bars divided by number of students
Candy bars per student = 4 / 6 = 0.67
Next, let's calculate the candy bars per student for the second group:
Total number of candy bars = 3
Number of students = 5
Candy bars per student = Total number of candy bars divided by number of students
Candy bars per student = 3 / 5 = 0.6
Comparing the two ratios, we can see that the first group of students received more candy bars per person as they got 0.67 candy bars per student compared to the second group that got only 0.6 candy bars per student.
Therefore, the group of 6 students who shared 4 candy bars equally received more candy bars per person.