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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount c
gold in each bracelet is 6 grams and the amount of gold in each necklace is 24 grams
The jeweler made a total of 16 bracelets and necklaces using 258 grams of gold.
Determine the number of bracelets made and the number of necklaces made.
The jeweler made
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bracelets and
necklaces.
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Answer :

The jeweler made 7 bracelets and 9 necklaces .

In the question ,

it is given that

amount of gold in each bracelet is [tex]=[/tex] 6 grams

amount of gold in each necklace is [tex]=[/tex] 24 grams .

let the number of bracelets [tex]=[/tex] "b" .

let the number of necklaces [tex]=[/tex] "n" .

since the total number of necklace and bracelet is 16 .

the equation is b + n = 16

so , b = 16 - n

also given that total gold used is 258 grams .

so the equation is 6b + 24n = 258

Substituting b= 16 - n in the equation ,

we get , 6*(16 - n) + 24n = 258

96 - 6n + 24n = 258

96 + 18n = 258

18n = 258 - 96

18n = 162

n = 162/18

n = 9

and b = 16 - 9 = 7

Therefore , The jeweler made 7 bracelets and 9 necklaces .

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