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 .
Solution
Let's solve this step by step:
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According to the problem, Samantha bought 2 jewellery boxes and 4 necklaces for $132.
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It is also mentioned that 1 jewellery box costs the same as 4 necklaces.
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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.
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Therefore, the cost of 2 jewellery boxes is 2x (since 1 jewellery box costs x).
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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.
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Solving this equation gives us x = 132 / 3 = $44.
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Therefore, the cost of 1 jewellery box is 44. So, the cost of 1 necklace is 44 / 4 = $11.
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The cost of 1 jewellery box and 1 necklace is therefore 11 = $55.
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