Question 1201362
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Hi
Ali had 60% of the total number of marbles  his other 3 friends had. Cindy had 50% of the total number Ben and Daniel had. The number Ben had was 1/3  the number daniel had. If ali had 39 more marbles than daniel, how many did they have altogether. Thanks

Let number Ben has, be B
Since Ben has {{{1/3}}} Daniel's amount, Daniel then has thrice Ben's, or 3B
Cindy has {{{1/2}}} of Ben and Daniel's total, and with Ben and Daniel having 4B (B + 3B), Cindy then has: {{{matrix(1,5, 1/2, of, 4B, "=", 2B)}}}

Finally, it's said that Ali has 60% of all 3's total, or .6(Ben's + Cindy's + Daniel's), or .6(B + 2B + 3B) = .6(6B) = 3.6B
It's also said that Ali has 39 more than Daniel, or 3B + 39 
                   Therefore, we get: 3.6B = 3B + 39
                                 3.6B - 3B = 39
                                       .6B = 39
                   Number <font size = 4><font color = red><b>Ben has</font></font></b>, or {{{highlight_green(matrix(1,7, B, "=", 39/.6, "=", 390/6, "=", highlight(65)))}}}

                             Total: A  +  B +  C  +  D, or
                                  3.6B +  B + 2B  + 3B = 9.6B 

     <font size = 4><font color = red><b>Total number of marbles:</font></font></b>{{{highlight_green(matrix(1,5, 9.6(B), "=", 9.6(65), "=", highlight(624)))}}}

                                             <font size = 6><font color = red><b><u>OR</font></font></b></u>

               {{{highlight_green(matrix(3,8, Number, highlight(Ali), "has:", 3.6B, "=", 3.6(65), "=", highlight(234),
Number, highlight(Cindy), "has:", 2B, "=", 2(65), "=", highlight(130),
Number, highlight(Daniel), "has:", 3B, "=", 3(65), "=", highlight(195)))}}}  OR  {{{matrix(1,4, "Total:", matrix(4,1, A,  "+B", "+C",  "+D"), "=", matrix(4,1, 234,  "+65", "130",  "195"))}}}

                                                        You think you can add them up?</pre>