SOLUTION: 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 th

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Question 1012974: 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.
Found 2 solutions by ikleyn, macston:
Answer by ikleyn(52903) About Me  (Show Source):
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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%2F2+-+%281%2F2%29%2A%281%2F6%2B1%2F7%29 = 1%2F2+-+%281%2F2%29%2A%287%2F42%2B6%2F42%29 = 1%2F2+-+%281%2F2%29%2A%2813%2F42%29 = 1%2F2-13%2F84 = 42%2F84-13%2F84 = 29%2F84 of the original number of beads.


So, the original number of beads is  %2858%2A84%29%2F29 = 2*84 = 168.


Answer. The original number of beads was 168.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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x=half original beads; 2x=original number of beads
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x=(1/6)x+(1/7)x+58
x=(7/42)x+(6/42)x+58
x=(13/42)x+58
(29/42)x=58
x=(42/29)(58)
x=64
She had 84 beads left after she made the necklace
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Original number=2x=2(84)=168
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ANSWER: She originally had 168 beads.
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