Every seventh-grade student at Martin Middle School takes one world language class. One-tenth of the seventh-grade students take French. Eighteen seventh-grade students take French. Which equation represents s, the total number of seventh-grade students at the middle school? 18 = 0. 1 s 18 = StartFraction 10 over s EndFraction StartFraction s over 0. 1 EndFraction = 18 10 s = 18.

Respuesta :

The equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: [tex]18 = 0.1s[/tex]

How to find the one-nth part of a thing?

Suppose that the whole thing is of value V.

Then its one-nth part is symbolically written as: [tex]V \times \dfrac{1}{n}[/tex] (V is divided in n equal part, and each part is called one-nth part of V).

For the considered case, we've got the figures as:

Every seventh grade student at considered school takes one language class. It means, if s = Total number of seventh grade student, then:

[tex]\dfrac{s}{7}[/tex]  is the number of students taking language class.

Now, it is said that: One-tenth of the seventh grade students like French, and that they are total 18 in counts.

Writing it symbolically gives:

[tex]\dfrac{s}{10} = 18[/tex]

Since we know that [tex]\dfrac{a}{b} = a \times \dfrac{1}{b}[/tex]

Thus,

[tex]\dfrac{s}{10} = s \times \dfrac{1}{10} = s \times 0.1= 18\\\\0.1 s = 18\\18 = 0.1s[/tex]

(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, the equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: [tex]18 = 0.1s[/tex]

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