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Snowcat [4.5K]
3 years ago
6

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo

unt of gold in each necklace is 16 grams. The jeweler made a total of 7 bracelets and necklaces using 72 grams of gold. Determine the number of bracelets made and the number of necklaces made.
Mathematics
1 answer:
IgorC [24]3 years ago
6 0

Answer: he made 4 bracelets and 3 necklaces.

Step-by-step explanation:

Let x represent the number of bracelets made.

Let y represent number of necklaces made.

The jeweler made a total of 7 bracelets and necklaces. This means that

x + y = 7

The amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams. The total amount of gold used was 72 grams. This means that

6x + 16y = 72 - - - - - - - - - - - - 1

Substituting x = 7 - y into equation 1, it becomes

6(7 - y) + 16y = 72

42 - 6y + 16y = 72

- 6y + 16y = 72 - 42

10y = 30

y = 30/10

y = 3

x = 7 - y = 7 - 3

x = 4

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Given:

The tens digit of a two digit number is 5 greater the units digit.

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To find:

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Solution:

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If you subtract double the reversed number from it, the result is a fourth of the original number.

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11x+50-22x-10=\dfrac{1}{4}(11x+50)

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Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

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Therefore, the original number is 72.

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2 years ago
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Step-by-step explanation:

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ehidna [41]

Answer:

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