Question

There are 275 seventh grade students at South Whitemarsh Middle School. All seventh grade students are required to enroll in either a music class or an art class. No students take both art and music classes. The number of students taking music classes is 11 more than twice the number taking art classes.

a. Draw a bar model that represents this situation. Label the unknown parts with a variable and the known parts with their values.

Art:

Music:


b. Use your picture to determine the number of students that are taking art classes and the number of students that are taking music classes. Show your work and labels.

c. Write an expression for the number of students taking art classes and an expression the number of students taking music classes. Let a represent the number of students taking art classes.

Art students:

Music students:

d. Write an expression to represent the total number of seventh grade students

Answer 1

Answer: art = 88 student, music = 187 students

Explanation:

Bar Model:

Art:

----------

a

Music:

---------- ---------- + 11

a a

Art + Music = Total

---------- ---------- ---------- + 11 = 275

a a a

3a + 11 = 275

3a = 264

a = 88

Art: a = 88

Music: 2a + 11 = 187