Information about how the students at Vista View High School got to school this morning is shown in the table.
| | Walk | Bicycle | Bus | Car | Total |
| :------------- | :--- | :------ | :-- | :-- | :---- |
| Tenth Grade | 104 | 8 | 96 | | 282 |
| Eleventh Grade | | 10 | 72 | 88 | |
| Twelfth Grade | 99 | | 28 | | 252 |
| Total | 314 | | 196 | 276 | 815 |
Out of all 252 twelfth graders, how many rode in a car to school?
Answer (1)
Calculate the number of tenth graders who rode in a car: 282 − ( 104 + 8 + 96 ) = 74 .
Calculate the total number of eleventh graders: 815 − 282 − 252 = 281 .
Calculate the number of eleventh graders who walked: 281 − ( 10 + 72 + 88 ) = 111 .
Calculate the number of twelfth graders who rode in a car: 276 − ( 74 + 88 ) = 114 . The final answer is 114 .
Explanation
Understanding the Problem We are given a table with information about how students at Vista View High School got to school. We need to find the number of twelfth graders who rode in a car to school.
Calculate the number of tenth graders who rode in a car First, let's find the number of tenth graders who rode in a car. The total number of tenth graders is 282. The number of tenth graders who walked is 104, biked is 8, and took the bus is 96. So, the number of tenth graders who rode in a car is: 282 − ( 104 + 8 + 96 ) = 282 − 208 = 74
Calculate the total number of eleventh graders Next, let's find the total number of eleventh graders. The total number of students is 815. The number of tenth graders is 282, and the number of twelfth graders is 252. So, the total number of eleventh graders is: 815 − 282 − 252 = 281
Calculate the number of eleventh graders who walked Now, let's find the number of eleventh graders who walked. The number of eleventh graders who biked is 10, took the bus is 72, and rode in a car is 88. So, the number of eleventh graders who walked is: 281 − ( 10 + 72 + 88 ) = 281 − 170 = 111
Calculate the sum of the number of twelfth graders who biked and rode in a car Let's find the sum of the number of twelfth graders who biked and rode in a car. The total number of twelfth graders is 252. The number of twelfth graders who walked is 99, and took the bus is 28. So, the sum of the number of twelfth graders who biked and rode in a car is: 252 − ( 99 + 28 ) = 252 − 127 = 125
Calculate the number of twelfth graders who rode in a car Finally, let's find the number of twelfth graders who rode in a car. The total number of students who rode in a car is 276. The number of tenth graders who rode in a car is 74, and the number of eleventh graders who rode in a car is 88. So, the number of twelfth graders who rode in a car is: 276 − ( 74 + 88 ) = 276 − 162 = 114
State the final answer Therefore, the number of twelfth graders who rode in a car to school is 114.
Examples
Understanding how students travel to school can help school administrators plan transportation services and allocate resources effectively. For example, if a large number of students ride bicycles, the school might invest in more bike racks or improve bicycle safety programs. If many students rely on cars, the school might consider carpooling initiatives or adjusting parking facilities. This type of analysis can also inform decisions about bus routes and pedestrian safety measures, ensuring that all students have safe and convenient access to education.
