SOLUTION: Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had 2/3 as many sweets as Ashwin. How many sweets did each of them have in the end? (

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had 2/3 as many sweets as Ashwin. How many sweets did each of them have in the end? (      Log On


   



Question 1195448: Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had 2/3 as many sweets as Ashwin. How many sweets did each of them have in the end?
(a) Ashwin
(b) Clifford

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39790) About Me  (Show Source):
You can put this solution on YOUR website!
Clifford and Ashwin

w, the amount Ashwin started with.
80% of w is 0.8w.

Clifford started with w-0.8w=0.2w.

That is just for a beginning; one possible way. This here is not any finished solution.

Answer by MathTherapy(10801) About Me  (Show Source):
You can put this solution on YOUR website!
Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had 2/3 as many sweets as Ashwin. How many sweets did each of them have in the end?
(a) Ashwin
(b) Clifford
***************
Let amount Ashwin started with, be A
Since "Clifford had 80% fewer sweets than Ashwin," then Clifford started with (1 - 80%) of A, or .2A
When Ashwin gave 210 sweets to Clifford, Ashwin had A - 210 left
After receiving 210 from Ashwin, Clifford ended up with .2A + 210
With Clifford ending up with 2%2F3 as many sweets as Ashwin, we get the following FINAL-COUNT equation:
                                                     %282%2F3%29%28A+-+210%29+=+.2A+%2B+210
                                                          2(A - 210) = .6A + 630 -- Multiplying by LCD, 3
                                                             2A - 420 = .6A + 630
                                                              2A - .6A = 630 + 420
                                                                    1.4A = 1,050
Number of sweets Ashwin started with, or A+=+%221%2C050%22%2F1.4+=+%2210%2C500%22714+=+highlight%28+750%29
Number of sweets Clifford started with: .2A = .2(750) = 150