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. :)

Question

contestada

Respuesta :

FoxTalkz FoxTalkz · Answer 1 · 2018-10-19T02:16:16+02:00

Part A is 2/3.

Part B is 12 students.

I'm positive.

Answer Link

JeanaShupp JeanaShupp · Answer 2 · 2019-10-04T08:22:17+02:00

Answer: Part A = [tex]\dfrac{2}{3}[/tex]

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 [tex]0.\overline{6}[/tex]

Let [tex]x= 0.666....[/tex] (1)

Multiply 10 on both sides , we get

[tex]10x=6.666...[/tex] (2)

Subtract (1) from (2), we get

[tex]9x=6[/tex]

Divide 9 on both sides , we get

[tex]x=\dfrac{2}{3}[/tex]

Thus , the required fraction in Part A = [tex]\dfrac{2}{3}[/tex]

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

[tex]\dfrac{2}{3}\times18=12[/tex]

Hence, 12 students prefer granola bars over muffins.

Thus , the required answer for Part b = 12