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Samantha bought 2 jewellery boxes and 4 necklaces for $132. If 1 jewellery box costs the same as 4 necklaces, what is the cost of 1 jewellery box and 1 necklace?The cost of 1 jewellery box and 1 necklace is $.

Question

Samantha bought 2 jewellery boxes and 4 necklaces for 132.If1jewelleryboxcoststhesameas4necklaces,whatisthecostof1jewelleryboxand1necklace?Thecostof1jewelleryboxand1necklaceis132. If 1 jewellery box costs the same as 4 necklaces, what is the cost of 1 jewellery box and 1 necklace?The cost of 1 jewellery box and 1 necklace is .

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Solution

Let's solve this step by step:

  1. According to the problem, Samantha bought 2 jewellery boxes and 4 necklaces for $132.

  2. It is also mentioned that 1 jewellery box costs the same as 4 necklaces.

  3. Let's assume the cost of 1 jewellery box is x. Since 1 jewellery box costs the same as 4 necklaces, the cost of 4 necklaces is also x.

  4. Therefore, the cost of 2 jewellery boxes is 2x (since 1 jewellery box costs x).

  5. According to the problem, the total cost of 2 jewellery boxes and 4 necklaces is $132. So, we can set up the equation: 2x + x = 132.

  6. Solving this equation gives us x = 132 / 3 = $44.

  7. Therefore, the cost of 1 jewellery box is 44.Since1jewelleryboxcoststhesameas4necklaces,thecostof4necklacesisalso44. Since 1 jewellery box costs the same as 4 necklaces, the cost of 4 necklaces is also 44. So, the cost of 1 necklace is 44 / 4 = $11.

  8. The cost of 1 jewellery box and 1 necklace is therefore 44+44 + 11 = $55.

This problem has been solved

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