Question

a school surveyed 7th and 8th graders to see where they would like to go on a field trip. field trip preference art museum science museum 7th graders 50 50 8th graders 40 60 based on the table, which statement is true? half the students want to go to the art museum. a total of 100 students were surveyed. of those surveyed, 30% prefer to go to the science museum and are in the 8th grade. of the 7th - grade students, 25% prefer to go to the art museum.

Explanation:

Step1: Calculate total number of students surveyed

$50 + 50+40 + 60=200$

Step2: Calculate number of students who prefer art museum

$50 + 40 = 90$, and $\frac{90}{200}=0.45
eq0.5$

Step3: Calculate percentage of 8th - graders who prefer science museum

There are 200 students surveyed, and 60 8th - graders prefer science museum. $\frac{60}{200}\times100\% = 30\%$

Step4: Calculate percentage of 7th - graders who prefer art museum

There are $50 + 50=100$ 7th - graders, and 50 of them prefer art museum. $\frac{50}{100}\times100\%=50\%
eq25\%$

Answer:

Of those surveyed, 30% prefer to go to the science museum and are in the 8th grade.