Question

information about how the students at vista view high school got to school this morning is shown in the table.

	tenth grade	eleventh grade	twelfth grade	total
bicycle	8	10
bus	96	72	28	196
car		88		276
total	282		252	815

out of all 252 twelfth graders, how many rode in to school?
options: 11, 74, 111, 114

Explanation:

Step1: Find total twelfth graders

The total number of twelfth graders is given as 252.

Step2: Find number of twelfth graders who walked, biked, took bus

From the table:
- Walked: 99
- Biked: Let's find the number of twelfth graders who biked. The total for bicycle row is (8 + 10 + x) where x is twelfth graders. But we can also use the twelfth grade total. Wait, alternatively, the twelfth grade has walk:99, bus:28, car:88. Wait, no, let's check the table again. Wait the table columns are Tenth, Eleventh, Twelfth, Total. Rows: Walk, Bicycle, Bus, Car, Total.

Wait, Twelfth Grade row (the column for Twelfth Grade) has:
- Walk: 99
- Bicycle:? Wait the Bicycle row: Tenth:8, Eleventh:10, Twelfth:? Total for Bicycle: 8 + 10 + x = let's see the total row for Bicycle? Wait no, the total column (last column) for each row:

Wait the table is:

| | Tenth Grade | Eleventh Grade | Twelfth Grade | Total |
|----------------|-------------|----------------|---------------|-------|
| Walk | 104 | | 99 | 314 |
| Bicycle | 8 | 10 |? | |
| Bus | 96 | 72 | 28 | 196 |
| Car | | 88 |? | 276 |
| Total | 282 | 252? Wait no, the Total column for grades: Tenth:282, Eleventh:?, Twelfth:252, Grand Total:815.

Wait, maybe a better approach: For twelfth grade, total is 252. The number of twelfth graders who walked is 99, took bus is 28, let's find who took car. Wait the Car row: Eleventh:88, Twelfth:?, Tenth:?. Total for Car: 276. So Tenth + 88 + Twelfth = 276. But maybe we can find the number of twelfth graders who rode in a car? Wait no, the question is "how many rode in a car to school?" Wait no, wait the question is "how many rode in a car"? Wait no, the original question (from the image) is "Out of all 252 twelfth graders, how many rode in a car to school?" Wait, no, maybe I misread. Wait the options are 11,74,111,114. Wait let's recalculate.

Wait, twelfth grade total is 252. The number of twelfth graders who walked:99, took bus:28, let's find who biked. Wait the Bicycle row: Tenth:8, Eleventh:10, so Twelfth: let's see the total for Bicycle row. Wait the total column for Bicycle: 8 + 10 + x. But maybe we can use the twelfth grade total. The twelfth grade students: walk (99) + bicycle (x) + bus (28) + car (y) = 252. Also, the Car row: Tenth (a) + Eleventh (88) + Twelfth (y) = 276. The Tenth grade total is 282, so Tenth grade: walk (104) + bicycle (8) + bus (96) + car (a) = 282. So 104 + 8 + 96 + a = 282 → 208 + a = 282 → a = 74. So Tenth grade car:74. Then Car row total:74 (Tenth) + 88 (Eleventh) + y (Twelfth) = 276 → 74 + 88 + y = 276 → 162 + y = 276 → y = 276 - 162 = 114. Wait no, that's Tenth grade car. Wait no, Car row: Tenth:74, Eleventh:88, Twelfth:y. So 74 + 88 + y = 276 → y = 276 - 162 = 114? Wait no, 74 + 88 is 162, 276 - 162 is 114. So Twelfth grade car:114? Wait but the options include 114. Wait let's check again.

Wait, twelfth grade total is 252. So walk (99) + bicycle (x) + bus (28) + car (y) = 252. We know y (car) is 114? Wait 99 + x + 28 + 114 = 252 → 99 +28=127, 127 +114=241, so x=252-241=11. So bicycle for twelfth is 11. But the question is "how many rode in a car"? Wait, no, the question is "how many rode in a car"? Wait the options are 11,74,111,114. Wait, let's recalculate.

Wait, the total number of twelfth graders is 252. The number of twelfth graders who walked is 99, took bus is 28, biked is 11 (as above). So the number who rode in a car is total twelfth - (walk + bike + bus) = 252 - (99 + 11 + 28) = 252 - 138 = 114? Wait no, 99 +11=110, 110 +28=138, 252-138=114. Wait but let's check the Car row. The Car row total is 276. Tenth grade car: 282 (tenth total) - 104 (walk) -8 (bicycle) -96 (bus) = 282 - 208 = 74. Eleventh grade car:88. So Twelfth grade car: 276 -74 -88 = 276 -162 = 114. Yes! So the number of twelfth graders who rode in a car is 114? Wait no, wait the options include 114. Wait but let's check the question again. Wait the question is "Out of all 252 twelfth graders, how many rode in a car to school?" So the answer is 114? Wait but let's check the calculation again.

Wait, Twelfth grade total:252.

Walk:99

Bicycle: Let's find bicycle for twelfth. The Bicycle row: Tenth:8, Eleventh:10, Twelfth:x. The total for Bicycle row (total column) is 8 +10 +x. But we can also find from the twelfth grade total. The twelfth grade has walk:99, bus:28, car:y, bike:x. So 99 +x +28 +y =252 → x + y =252 -127=125.

From Car row: Tenth:74, Eleventh:88, Twelfth:y. Total car:74 +88 +y=276 → y=276 -162=114. Then x=125 -114=11. So bike is 11, car is 114. So the number of twelfth graders who rode in a car is 114. Wait but the options are 11,74,111,114. So 114 is an option. Wait maybe I made a mistake. Wait let's check the table again.

Wait the table's Twelfth Grade column:

- Walk: 99

- Bus:28

- Car:?

The total for Twelfth Grade is 252. So 99 (walk) + bike (x) +28 (bus) + car (y) =252 → x + y =252 -127=125.

From the Car row:

- Tenth Grade: 282 (Tenth total) -104 (walk) -8 (bicycle) -96 (bus) =282 -208=74

- Eleventh Grade:88

- So Car row total:74 +88 + y=276 → y=276 -162=114. Then x=125 -114=11. So car is 114. So the answer is 114.

Answer:

114