SOLUTION: What is 25% of 240 I know the answer is 60 but my work does'nt come out right. Is this correct I need to show work the long way 25/X x 240/100 = 25x/24000 please show all work

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: What is 25% of 240 I know the answer is 60 but my work does'nt come out right. Is this correct I need to show work the long way 25/X x 240/100 = 25x/24000 please show all work      Log On


   

Question 893966: What is 25% of 240 I know the answer is 60
but my work does'nt come out right. Is this correct I need to show work the long way
25/X x 240/100 = 25x/24000 please show all work...Thank you...i'm not sure
Where I went wrong. Please show me step by step. Thank you.
Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
What is 25% of 240 I know the answer is 60
but my work does'nt come out right. Is this correct I need to show work the long way
25/X x 240/100 = 25x/24000 please show all work...Thank you...i'm not sure
Where I went wrong. Please show me step by step. Thank you.


25% of 240 is: %2825%2F100%29+%2A+%28240%2F1%29           OR                .25%28240%29

%2825%2F100%29+%2A+%28240%2F1%29_________%28cross%2825%29%2F4cross%28100%29%29+%2A+%28240%2F1%29_________%281%2Fcross%284%29%29+%2A+%2860cross%28240%29%2F1%29 = highlight_green%28highlight_green%2860%29%29

OR

%28PART_NUMBER%29%2F%28WHOLE_NUMBER%29+=+%28PART_PERCENT%29%2F%28WHOLE_PERCENT%29, where:

PART NUMBER is:   UNKNOWN, or x

WHOLE NUMBER is:  240

PART PERCENT is:  25

WHOLE PERCENT is: 100 (ALWAYS)



Thus, %28PART_NUMBER%29%2F%28WHOLE_NUMBER%29+=+%28PART_PERCENT%29%2F%28WHOLE_PERCENT%29 becomes: x%2F240+=+%2825%29%2F%28100%29

100%28x%29+=+240%2825%29 ------ Cross-multiplying

x+=+%28240%2825%29%29%2F100 ---------- Dividing each side by 100

x+=+%2860cross%28240%29%28cross%2825%29%29%29%2Fcross%284%29cross%28100%29 ------- Cancelling numerators and denominators

highlight_green%28highlight_green%28x+=+60%29%29