Asked by Anonymous
                3/5 of a class of students like strawberry ice-cream. 1/3 of the remaining students like chocolate ice-cream and the rest like vanilla ice-cream. Given that 28 more students like strawberry ice-cream than chocolate ice-cream, how many students like vanilla ice-cream?
            
            
        Answers
                    Answered by
            Anonymous 
            
    ns = number of students like strawberry ice cream
nc = number of students like chocolate ice cream
nw = number of students like vanilla ice cream
nt = total number of students
Given:
ns = 3/5nt —> (1)
At 1/3 of the remaining students like chocolate ice cream
nc = 1/3 (nt - 3/5nt)
= nt/3 - nt/5
= nt (1/3 - 1/5)
nc = 2/5 nt
At given that 28 more students like strawberry ice cream than chocolate ice cream.
ns = 28 + nc
ns = 28 + 2/15nt —> (2)
Equate (1) to (2)
ns = ns
[3/5nt = 28 + 2/15nt]
Multiply both side by 15
[3/5nt = 28 + 2/15nt] (15)
9nt = 420 + 2nt
9nt - 2nt = 420
7nt = 420
nt = 420/7
nt = 60
solve for nv
nt = ns + nc + nv
nv = nt - ns - nc
nv = nt - 3/5nr - 2/15nr
nv = nt (1 - 3/5 - 2/15)
nv = nt (4/15)
nv = 60 (4/15)
nv = 16
    
nc = number of students like chocolate ice cream
nw = number of students like vanilla ice cream
nt = total number of students
Given:
ns = 3/5nt —> (1)
At 1/3 of the remaining students like chocolate ice cream
nc = 1/3 (nt - 3/5nt)
= nt/3 - nt/5
= nt (1/3 - 1/5)
nc = 2/5 nt
At given that 28 more students like strawberry ice cream than chocolate ice cream.
ns = 28 + nc
ns = 28 + 2/15nt —> (2)
Equate (1) to (2)
ns = ns
[3/5nt = 28 + 2/15nt]
Multiply both side by 15
[3/5nt = 28 + 2/15nt] (15)
9nt = 420 + 2nt
9nt - 2nt = 420
7nt = 420
nt = 420/7
nt = 60
solve for nv
nt = ns + nc + nv
nv = nt - ns - nc
nv = nt - 3/5nr - 2/15nr
nv = nt (1 - 3/5 - 2/15)
nv = nt (4/15)
nv = 60 (4/15)
nv = 16
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.