one fourth of the 7th grade students made honor roll in the first quarter. the number of honor roll students increased by 18 in the second quarter. If 105 students made honor roll in the second quarter. How many total 7th graders are there?

1/4 of x students made the honor roll in the first quarter

1/4 of x plus 18 equals 105

1/4 x + 18 = 105

1/4 x + 18 - 18 = 105 - 18

1/4 x = 87

Reciprocal to isolate variable

4/1 (1/4 x) = 87 (4/1)

x = 348

There is a total of 348 students in 7th grade