The incoming 7th grade class has choice of FRENCH or SPANISH as a language elective. There are 3 times as many Spanish classes as French classes (or 3 to 1). How many students can choose Spanish if there are 850 student? Round to the nearest whole number.

Question

(1 point)
A. 213 students can take Spanish
B. 283 students can take Spanish
C. 425 students can take Spanish
D. 638 students can take Spanish
. ._____________ ........................ ._____________
. . | fill in the blank |........................... | fill in the blank |
___________________ ...=..........____________________
....._____________ ......................| .........850 students.......|
. . | fill in the blank |

Answer 1

Let \( F \) be the number of French classes, then the number of Spanish classes will be \( 3F \) since there are three times as many Spanish classes as French classes.

The total number of classes can be represented as:

\[ F + 3F = 4F \]

Since there are a total of 850 students, we can divide the students based on the total number of classes:

\[ \text{Students per class} = \frac{850}{4F} \]

The number of students choosing Spanish will be:

\[ \text{Students in Spanish} = \text{Students per class} \times 3F = 3F \times \frac{850}{4F} = \frac{3 \times 850}{4} = \frac{2550}{4} = 637.5 \]

Rounding to the nearest whole number, we find:

\[ \text{Students in Spanish} \approx 638 \]

So the answer is: D. 638 students can take Spanish.

Answer 2

options to fill in the blank: 3 spanish classes, 4 classes, 1 french class, x students, x classes

Answer 3

Let's fill in the blank based on the language classes and the number of students:

Given:

• There are 1 French class and 3 Spanish classes. This sums up to 4 classes in total.
• The total number of students is 850.

We can break it down as follows:

• Let’s denote French classes as \( F \) and Spanish classes as \( S \).
• We know that \( F = 1 \) and \( S = 3 \) (3 Spanish classes).

So, we can fill in the dashed lines with the options provided:

\[ . , . , | \text{1 French class} , | ........................... | \text{850 students} , | \] \[ \text{Total classes} = F + S = 1 + 3 = 4 \]

Now, the number of students can be calculated for Spanish, as before:

The total number of students per class is:

\[ \text{Students per class} = \frac{850}{4} = 212.5 \]

Thus, the number of students who can choose Spanish (in 3 classes) is:

\[ \text{Students in Spanish} = 3 \times \frac{850}{4} = 637.5 \approx 638 \]

So, filling the blanks with the provided multiple choice options could look like this:

Fill in the Blank:

\[ . , . , | \text{1 French class} , | ........................... | \text{850 students} , | \] \[ . , . , | \text{3 Spanish classes} , | ........................... | \text{x students (638 students)} , | \]

So you could say:

• Option to fill in the blank is 1 French class and 3 Spanish classes in the first section, and you can summarize the total students as 638 students in the second section.