Answered

MARIE CONDUCTED A SURVEY AMONG ALL GRADE FIVE PUPILS TO FIND OUT THEIR FAVORITE SUBJECTS. OF THOSE SURVEYED,11/20 WROTE MATH, 5/8 WROTE SCIENCE AND 3/10 WROTE BOTH.WHAT PART OF THE TOTAL NUMBER OF PUPILS SURVEYED WROTE MATH ONLY? SCIENCE ONLY? NEITHER MATH NOR SCIENCE?

Sagot :

Start with both Math and Science: 3/10
Math only:  11/20
Science only:  5/8

Change to similar fractions.  The LCD of denominators 10, 20, and 8 is 40.
Both Math and Science: 3/10 = 12/40
Math only:11/20 = 22/40
Science only: 5/8 = 25/40

To find the number students with their favorites subject/s:
Total Number of pupils surveyed = 40 
Both Math and Science = 12 pupils
Math only: 22-12= 10 pupils
Science only: 25-12 = 13 pupils

Total pupils with favorite subjects Math, Science, or both:
12 + 10 + 13 = 35 pupils
40 - 35 = 5 pupils whose favorite subject is neither Math or Science.

As fraction:  The part of the total pupils surveyed with their favorite subjects:
Math and Science (Both) = 12/40 or 3/10
Math only = 10/40 or 1/4
Science only = 13/40
Neither = 5/40 or 1/8