Question 33 Suppose 96 % of students chose to study Spanish their junior year, and that meant that there were 696 such students. How many students chose
not to take Spanish their junior year?

110

Step-by-step explanation:

If 12% studied Spanish, then 88% did not. The ratio of those who did not to those who did is ...

  88 : 12 = 22 : 3

Then the number of students who did not study Spanish is ...

   (22/3)×15 = 110 . . . . did not study Spanish

22:3 is a reduction of the ratio 88:12, by factoring 4 from each number. 15 is the number of students corresponding to 12% of the class. It is found in the problem statement. Essentially, we're saying that we want to know the number of students in the other 88% of the class, given that 15 students make up 12% of the class. There are many ways to write equations for this. I think this proportion is the easiest to think about.

If F is the size of the freshman class, and n is the number Not studying Spanish, you have 12%·F = 15, and 15 + N = F. You can solve the first equation for F, then the second equation for N, which is what you really want to know. F = 15/.12 = 125; N = F -15 = 125-15 = 110.

These two equations are reasonably straightforward, but to my lazy way of thinking, it is an extra equation and an extra calculation that are not needed to get to the answer.

You don't need to reduce the ratio from 88/12 to 22/3 to work the problem using ratios. The only reason for doing that is so there is a 3 in the denominator that cancels a factor of 3 in 15, so the only math you really need to do is 22·5 = 110. It helps immensely to know your multiplication tables, and to be able to recognize multiples of 2 and 4.

Step-by-step explanation:

percentage of students not to take spanish is 4%

answer is 696*4/100=27.84

so 28 students not to take spanish

b. 2 and 4

step-by-step explanation: