SOLUTION: Pierre has 15-g of cashews. when he examines the nuts, he find 4/7 of this amount is whole nuts and 1/3 is only half nuts. the remaining nuts are small pieces. how many grams consi

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Pierre has 15-g of cashews. when he examines the nuts, he find 4/7 of this amount is whole nuts and 1/3 is only half nuts. the remaining nuts are small pieces. how many grams consi      Log On


   

Question 1206925: Pierre has 15-g of cashews. when he examines the nuts, he find 4/7 of this amount is whole nuts and 1/3 is only half nuts. the remaining nuts are small pieces. how many grams consists of small pieces.
Found 2 solutions by ikleyn, mananth:
Answer by ikleyn(52803) About Me  (Show Source):
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Pierre has 15-g of cashews. when he examines the nuts, he find 4/7 of this amount
is whole nuts and 1/3 is only half nuts. the remaining nuts are small pieces.
how many grams consists of small pieces.
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The part which is small pieces is  1 - 4%2F7 - 1%2F3  of the whole.

Write it with the common denominator and calculate

    1 - 4%2F7 - 1%2F3 = 21%2F21+-+%284%2A3%29%2F21+-+7%2F21 = %2821-12-7%29%2F21 = 2%2F21.


The mass of small pieces is  15%2A%282%2F21%29 = 30%2F21 = 10%2F7 = 13%2F7 grams, or 1.4286 grams (rounded).


ANSWER.  The mass of small pieces is  13%2F7 grams, or 1.4286 grams (rounded).

Solved.



Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

Pierre has 15-g of cashews. when he examines the nuts, he find 4/7 of this amount is whole nuts and 1/3 is only half nuts. the remaining nuts are small pieces. how many grams consists of small pieces.
15-g of cashews.
4/7 of this amount is whole nuts
and 1/3 is only half nuts.
(4/7)*15+(1/3)*15
(60/7)+ 5 = half nuts and full nuts
15-60/7+5 = pieces
LCM
(105-60-35)/7
=10/7
Pierre has 10/7 grams of broken nuts