Question

There are 540 students in the 7th grade. One-fourth of the students are in Algebra (A), 1/5 of the students are in Pre-algebra (P), and the rest are in Math 7 (M7). How many students are in Math 7?

a) 90
b) 180
c) 270
d) 360

Answer 1

To calculate how many students are in Math 7, we take the total number of students (540) and subtract the number of students in Algebra and Pre-algebra. The numbers of students in Algebra and Pre-algebra are 135 and 108, respectively. However, the correct subtraction gives us 297, which is not listed, so there may be a typo; the closest provided option is 270.

Step-by-step explanation:

The student wants to find out how many 7th-grade students are in Math 7 when given the total number of students and the proportions in Algebra and Pre-algebra. With a total of 540 students in the 7th grade, one-fourth are in Algebra and 1/5 are in Pre-algebra.

Step 1: Calculate the number of students in Algebra (A):
1/4 of 540 = 540/4 = 135 students.

Step 2: Calculate the number of students in Pre-algebra (P):
1/5 of 540 = 540/5 = 108 students.

Step 3: Subtract the number of students in A and P from the total to find the number in Math 7 (M7):
540 - (135 + 108) = 540 - 243 = 297 students.

However, since the answer of 297 is not listed in the options, there might have been an oversight in the question's formulation or a typo. The closest answer among the choices provided is (c) 270.