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(1) Ali had 60% of the total number of marbles his other 3 friends had.
(2) Cindy had 50% of the total number Ben and Daniel had.
(3) The number Ben had was 1/3 the number daniel had.
(4) If ali had 39 more marbles than daniel, how many did they have altogether.
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For convenience of referencing, I numbered the statements (1), (2), (3) and (4).
Let x be the number of marbles Ben had.
Then from (3), Daniel had 3x marbles,
and Ben and Daniel had together x+3x = 4x marbles.
Then from (2), Cindy had 0.5*(4x) = 2x marbles,
and 3 friends, Ben, Cindy and Daniel, had together 4x+2x = 6x marbles.
Then from (1), Ali had 0.6*(6x) = 3.6x marbles.
We are given in (4), that
3.6x - 3x = 39.
It gives us
0.6x = 39, x = = 65.
Hence, altogether they had 6x+3.6x = 9.6x = 9.6*65 = 624 marbles. ANSWER
Solved using one unknown and one equation.
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 Daniel's amount, Daniel then has thrice Ben's, or 3B
Cindy has of Ben and Daniel's total, and with Ben and Daniel having 4B (B + 3B), Cindy then has:
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 Ben has, or
Total: A + B + C + D, or
3.6B + B + 2B + 3B = 9.6B
Total number of marbles:
OR
OR
You think you can add them up?