Question

Students were surveyed about their favorite colors. 1/4 of the student preferred red, 1/8 of the students preferred blue, and 3/5 of the remaining students preferred greed. if 15 students preferred green, how many students were surveyed?

Answer 1

HEYA! !
ANSWER - : ✔ ✔
1/4 + 1/8 = 2/8 + 1/8 = 3/8, the remaining students is therefore 1-3/8 = 8/8 - 3/8 = 5/8

3/5 of this remaining students is 3/5 of 5/8, or 3/5 * 5/8 = 3/8

If 3/8 of the surveyed class is equal to 15, then the whole class size is equal to 15 divided by 3/8, or 15 * 8/3 = 40

The answer therefore is 40 students

remember, when dividing by a fraction you invert the fraction and multiply.

HOPE IT HELPS ✌

Answer 2

The students preferred red and blue is (1/4+1/8)=3/8. The students preferred green are {(1-3/8)×3/5}={5/8×3/5}=3/8. 3/8=15.
1=(15÷3/8)=(15×8/3)=40