Given:
Total number of students = 400
Number of high school students = 200
Number of college students = 200
NUmber of college students who chose history = 70
Number of college students who chose math =60
Number of college students who chose science = 70
To find the percentage of the students that are college kids that prefer history, apply the formula below:
![\text{ \% of college that prefers history = }\frac{Number\text{ of college who chose history}}{\text{Total number of students}}*(100)/(1)](https://img.qammunity.org/2023/formulas/mathematics/college/ex60cekxieyseef262mpslfrdgfuixly7y.png)
Thus, we have:
![\begin{gathered} \text{ \% of college that prefers history }=\text{ }(70)/(400)*(100)/(1) \\ \\ \text{ \% of college that prefers history }=0.175\text{ }*\text{ 100 = 17.5\%} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/bayhu7zw4q8usp6mojfsg2nkji4depslws.png)
Therefore, the percentage of the students that are college kids that prefer history is 17.5 percent
ANSWER:
17.5%