Question

The data table below gives the number of 10^th grade students enrolled in French at ABC School. Study the table and answer the questions that follow.

	Boys	Girls
Enrolled in French	24	25
Not Enrolled in French	31	28

1. What is the ratio of 10th grade girls not enrolled in French to all 10th grade students at ABC School?
2. If x percent more 10th grade students at ABC School are not enrolled in French than are enrolled in French, what is the approximate value of x?
3. If 2 of the 10th grade boys at ABC school who are not enrolled in French decided to enrol in French, and then 20 new girls and 19 new boys who join the 10th grade at ABC School, enrol in French, what percent of 10th grade students at ABC School would then be enrolled in French?

Answer 1

Number of 10th grade students = 24 + 25 + 31 + 28 = 108

Ratio of 10th grade girls not enrolled in French to all 10th grade students at ABC School = 28 / 108 = 0.2592593

10th grade students at ABC School are not enrolled in French = 31 + 28 = 59

10th grade students at ABC School enrolled in French = 24 + 25 = 49

x = (10th grade students at ABC School are not enrolled in French - 10th grade students at ABC School enrolled in French ) * 100 / Number of 10th grade students

= (59 - 49) * 100 / 108

= 9.259259

10th grade students at ABC School enrolled in French = 49 + 2 + 20 + 19 = 90

Number of 10th grade students = 108 + 20 + 19 = 147

percent of 10th grade students at ABC School would then be enrolled in French = 90 * 100 / 147

= 61.22449 %