Answered

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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?

Sagot :

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

Determine the remaining students.

[tex]\begin{gathered} S=x-\frac{x}{4}-\frac{x}{8} \\ =\frac{8x-2x-x}{8} \\ =\frac{5}{8}x \end{gathered}[/tex]

Determine the students that prefer green.

[tex]\frac{3}{5}\cdot\frac{5}{8}x=\frac{3x}{8}[/tex]

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

[tex]\begin{gathered} \frac{3x}{8}=15 \\ x=\frac{15\cdot8}{3} \\ =40 \end{gathered}[/tex]

So total students that were surveyed is equal to 40.

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