Question 1012974
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Ann had a bag of glass beads. She used half of them to make a necklace. She and her sister used 1/6 and 1/7 of the remaining beads to make bracelets. If 58 beads were left, find the original number of beads.
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58 remaining beads is {{{1/2 - (1/2)*(1/6+1/7)}}} = {{{1/2 - (1/2)*(7/42+6/42)}}} = {{{1/2 - (1/2)*(13/42)}}} = {{{1/2-13/84}}} = {{{42/84-13/84}}} = {{{29/84}}} of the original number of beads.


So, the original number of beads is  {{{(58*84)/29}}} = 2*84 = 168.


<U>Answer</U>. The original number of beads was 168.
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