Question

Ron asked 18 classmates wether they prefer granola bars over muffins. he used a calculator to compare the number of classmates who said yes to the total number he surveyed. the calculator showed the result as 0.66666667.
Part A
Write this number as a fraction

Part B
How many students prefer granola bars over muffins?

please don't answer if you are not sure. :)

Answer 1

Part A is 2/3.

Part B is 12 students.

I'm positive.

Answer 2

Answer: Part A = $\dfrac{2}{3}$

Part B = 12

Step-by-step explanation:

Given : Total number of classmate surveyed = 18

Proportion of people said yes ,they prefer granola bars over muffins = 0.66666667

Since 6 is repeating after decimal , so we can write this value as $0.\overline{6}$

Let $x= 0.666....$     (1)

Multiply 10 on both sides , we get

$10x=6.666...$       (2)

Subtract (1) from (2), we get

$9x=6$

Divide 9 on both sides , we get

$x=\dfrac{2}{3}$

Thus , the required fraction in Part A = $\dfrac{2}{3}$

The number of students prefer granola bars over muffins will be :-

$\dfrac{2}{3}\times18=12$

Hence, 12 students prefer granola bars over muffins.

Thus , the required answer for Part b = 12