Question

REWRITE EACH PROBLEM AS A MULTIPLICATION QUESTION!!!Students were surveyed about their favorite colors. 1/4 of the students preffered red, 1/8 of the students blue, and 3/5 of the remaining students preffered green. If 15 students preffered green, how many student were surveyed?

Answer 1

Let there are x total student surveyed, the 1/4x students prefer red, 1/8x prefer blue.

Determine the remaining students.

`\begin{gathered} S=x-(x)/(4)-(x)/(8) \\ =(8x-2x-x)/(8) \\ =(5)/(8)x \end{gathered}`

Determine the students that prefer green.

`(3)/(5)\cdot(5)/(8)x=(3x)/(8)`

The students who preferred green is 15. So equation for x is,

`\begin{gathered} (3x)/(8)=15 \\ x=(15\cdot8)/(3) \\ =40 \end{gathered}`

So total students that were surveyed is equal to 40.