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By: 2000123 (offline)  Tuesday, April 24 2012 @ 02:05 AM CDT (Read 904 times)  
2000123

Nicole,Shaine and Jun shared some marbles.
Nicole took 1/5 of the total number of marbles and another 6 marbles.
Shaine took 50% of the remaining marbles and another 15 marbles.
Jun took the last 24 marbles.How many marbles were there at first?

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Registered: 03/07/12
Posts: 21

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By: MathIzzzFun (offline)  Tuesday, April 24 2012 @ 10:54 AM CDT  
MathIzzzFun

Quote by: 2000123

Nicole,Shaine and Jun shared some marbles.
Nicole took 1/5 of the total number of marbles and another 6 marbles.
Shaine took 50% of the remaining marbles and another 15 marbles.
Jun took the last 24 marbles.How many marbles were there at first?



Hi

work backwards...
24 + 15 = 39 --> this is equal to 50% of the remaining marbles,
so number of remaining marbles 39 x 2 = 78

78 + 6 = 84 --> 4/5 of the total number of marbles
Total number of marbles at first = 5/4 x 84 = 105

you may also use model drawing similar to this : http://tinyurl.com/mathizzzfun-workback-01

cheers.

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