there are 300 students that take either a spanish class or a french class at a school. of all the females…

there are 300 students that take either a spanish class or a french class at a school. of all the females, 20 of them take a french class. of the 210 students that take a spanish class, 95 of them are male. part a complete the two - way table to represent this data. enter a number in each box. part b of all the students that take a french class, what percent of those students are male? round your answer to the nearest whole percent. enter a whole number in the box.
Answer
Explanation:
Step1: Find number of male students in French class
Total students taking Spanish or French is 300, and 210 take Spanish. So number of students taking French is $300 - 210=90$. Given 20 females take French, so number of males taking French is $90 - 20 = 70$.
Step2: Find number of female students in Spanish class
210 students take Spanish and 95 are male, so number of females taking Spanish is $210 - 95=115$.
Step3: Calculate row - totals for males and females
Number of male students in total is $95 + 70=165$. Number of female students in total is $115+20 = 135$.
Step4: Complete the two - way table
| Spanish | French | Total | |
|---|---|---|---|
| Males | 95 | 70 | 165 |
| Females | 115 | 20 | 135 |
| Total | 210 | 90 | 300 |
Step5: Calculate percentage of male students in French class
Percentage of male students in French class is $\frac{70}{90}\times100\approx78%$
Answer:
Part A:
| Spanish | French | Total | |
|---|---|---|---|
| Males | 95 | 70 | 165 |
| Females | 115 | 20 | 135 |
| Total | 210 | 90 | 300 |
| Part B: 78 |