Question

How many students were surveyed? How many of the students surveyed would like to learn Spanish?

Answer 1

Answer: 50 students were surveyed and 18 students would like to learn Spanish.

Step-by-step explanation:

A. 24% of the people would like to learn French and since 12 students want to learn french, this means that 2%= 1 person

If you add all of the percents up, you get 100 and since 2%= 1 person, you divide 100 by 2, which equals 50 people surveyed.

B. Since 2%= 1 person, you would divide 36÷2, which equals 18 students that would like to learn Spanish :)

Answer 2

The total of surveyed students is 50. And 18 students surveyed would like to learn Spanish.

Rule of Three

It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion it's possible to find an unknown number.

Percentage

Percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: $\frac{1}{100}$=1%.

The exercise gives the following information:

Spanish - 36%

French - 24%

German - 18%

Other=  22%

The sum of all percentage values equals to 100. See: 36+24+18+22=100.

• Letter A

12 students would like to learn French. It implicates that 12 is equivalent to 24% of surveyed students. From rule of three, you can find the number of students were surveyed.

                         12 students --------- 24%

                         x students ---------- 100%

Applying cross multiplication

                                  $24x=1200\\ \\ x=\frac{1200}{24} \\ \\ x=50$

Therefore, 50 students were surveyed.

• Letter B

36% students would like to learn Spanish and 50 students were surveyed. From rule of three, you can find the number of students would like to learn Spanish.

                         x   students --------- 36%

                         50 students ---------- 100%

Applying cross multiplication

                              $100x=36*50\\ \\ 100x=1800\\ \\ x=\frac{1800}{100} \\ \\ x=18$

Therefore, 18 surveyed students would like to learn Spanish.

Read more about rule of three here:

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