Question

information about the students at jackson high school is shown in the table. which statement must be true? out of the 352 eleventh - graders at the school, 173 of them are girls. out of the 511 boys at the school, 150 of them are tenth - graders. out of the 523 tenth - graders at the school, 173 of them are boys. out of the 376 girls at the school, 182 of them are eleventh - graders.

	girls	boys	total
eleventh grade		179
twelfth grade	156		306
total	523	511	1034

Explanation:

Step1: Calculate number of tenth - grade boys

Number of tenth - grade boys = Total tenth - graders - Tenth - grade girls. So, $376−194 = 182$.

Step2: Calculate number of eleventh - grade girls

Total eleventh - graders = 352 (since total boys + girls in eleventh grade). Number of eleventh - grade girls = $352−179=173$.

Step3: Calculate number of twelfth - grade boys

Number of twelfth - grade boys = Total twelfth - graders - Twelfth - grade girls. So, $306 - 156=150$.

Step4: Analyze each option

• Option 1: Total eleventh - graders is $179 + 173=352$, and number of eleventh - grade girls is 173. This statement is true.
• Option 2: Total boys is 511, but we can't say 150 of them are tenth - graders as 150 is number of twelfth - grade boys.
• Option 3: Total tenth - graders is 376, not 523.
• Option 4: Total girls is 523, not 376.

Answer:

Out of the 352 eleventh - graders at the school, 173 of them are girls.