At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked healthy foods. How many students preferred healthy foods?

11 answers

Since 2 out of every 5 students liked healthy foods, we can calculate the number of students who liked healthy foods by first finding the number of sets of 5 students: 35 students / 5 students/set = <<35/5=7>>7 sets
Then multiply the number of sets by the number of students who liked healthy food per set to find the total number of students who like healthy food: 7 sets * 2 students/set = <<7*2=14>>14 students. Answer: \boxed{14}.
So the answer is 14?
Yes, the answer is 14.
There are 40 students in Joan’s class. She plans to invite them to her birthday party. She asked them to suggest a theme for her party. Three of every eight students suggested a rainbow-themed party. How many students suggested a rainbow-themed party? How many did not? How many students suggested a rainbow-themed party, while how many students did not.
To find the number of students who suggested a rainbow-themed party, we can first find the number of sets of 8 students: 40 students / 8 students/set = <<40/8=5>>5 sets
Then multiply the number of sets by the number of students who suggested a rainbow-themed party per set to find the total number of students who suggested a rainbow-themed party: 5 sets * 3 students/set = <<5*3=15>>15 students.
To find the number of students who did not suggest a rainbow-themed party, subtract the number of students who suggested a rainbow-themed party from the total number of students: 40 students - 15 students = <<40-15=25>>25 students.
Therefore, 15 students suggested a rainbow-themed party, while 25 students did not suggest a rainbow-themed party.
Mary ate 4 1/2 pears and Carmie ate 7 2/4 pears. If they finished all the pears in a box, how many pears were in the box?
To add the fractions, we need to have like denominators. The least common denominator of 2 and 4 is 4.

To write 4 1/2 as an improper fraction:
4 x 2 = 8
8 + 1 = 9
So, 4 1/2 is equivalent to 9/2.

To write 7 2/4 as an improper fraction:
7 x 4 = 28
28 + 2 = 30
So, 7 2/4 is equivalent to 30/4.

To add the fractions: 9/2 + 30/4

First, we need to make the denominators equal. Since 2 is a factor of 4, multiply the numerator and denominator of 9/2 by 2:
(9 x 2) / (2 x 2) = 18/4

Now our fractions have the same denominator:
18/4 + 30/4 = 48/4

To simplify the fraction, divide both the numerator and denominator by the greatest common divisor, which is 4:
48 ÷ 4 / 4 ÷ 4 = 12/1

So, the sum of 9/2 and 30/4 is 12/1, or simply 12.

Therefore, there were 12 pears in the box.
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