A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 7 grams and the amount of gold in each necklace is 20 grams. The jeweler used 109 grams of gold and made 4 more bracelets than necklaces. Determine the number of bracelets made and the number of necklaces made.

Question

Mathematics

Silvester

16 August, 00:55

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 7 grams and the amount of gold in each necklace is 20 grams. The jeweler used 109 grams of gold and made 4 more bracelets than necklaces. Determine the number of bracelets made and the number of necklaces made.

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Answers (1)

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Sidney Blankenship · Answer 1

3 necklaces and 12 bracelets

Step-by-step explanation:

Bracelets = x + 4

amount of necklace gold = 20*x

amount of gold in bracelet = 7 * (x+4)

added together = 109 gm

20x + 7 (x+4) = 109

20x + 7x+28 = 109

27x+28=109

-28 - 28

27x = 81

/27 / 27

x=3 necklaces

then bracelets = 3+4=12