Question

a survey was conducted with high school students in each grade to see how many prefer math or english. some of the data are shown. which statements are true? choose two correct answers. thirty - five twelfth graders prefer math and nine tenth graders prefer english. twenty - three ninth graders and fifteen eleventh graders prefer math. eighteen tenth graders prefer english and fourteen eleventh graders prefer math

Explanation:

Step1: Calculate the number of ninth - graders who prefer math

The total number of ninth - graders is \(63\), and the number of ninth - graders who prefer English is \(40\). So the number of ninth - graders who prefer math is \(63 - 40=23\).

Step2: Calculate the number of eleventh - graders who prefer math

The total number of eleventh - graders is \(29\), and the number of eleventh - graders who prefer English is \(15\). So the number of eleventh - graders who prefer math is \(29 - 15 = 14\).

Step3: Calculate the number of twelfth - graders who prefer math

The total number of twelfth - graders is \(67\), and the number of twelfth - graders who prefer English is \(32\). So the number of twelfth - graders who prefer math is \(67-32 = 35\).

Step4: Calculate the number of tenth - graders who prefer English

The total number of tenth - graders is \(26\), and the number of tenth - graders who prefer math is \(18\). So the number of tenth - graders who prefer English is \(26 - 18=8\).

Answer:

• "Thirty - five twelfth graders prefer math and nine tenth graders prefer English."
• "Twenty - three ninth graders and fourteen eleventh graders prefer math."