Question 1195448
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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
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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 {{{2/3}}} as many sweets as Ashwin, we get the following FINAL-COUNT equation:
                                                     {{{(2/3)(A - 210) = .2A + 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 = "1,050"/1.4 = "10,500"714 = highlight( 750)}}}
<font color = red><font size = 3>Number of sweets Clifford started with:</font></font> .2A = .2(750) = <font color = red><font size = 3>150</font></font></font></b></font></font></pre>