Edmund bought 3 soccer balls and 6 baseball caps for $192. If 1 soccer ball costs the same as 6 baseball caps, what is the cost of 1 soccer ball and 1 baseball cap?The cost of 1 soccer ball and 1 baseball cap is $.
Question
Edmund bought 3 soccer balls and 6 baseball caps for .
Solution
Sure, let's solve this step by step:
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Let's denote the cost of a soccer ball as S and the cost of a baseball cap as C.
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From the problem, we know that Edmund bought 3 soccer balls and 6 baseball caps for 192.
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We also know that 1 soccer ball costs the same as 6 baseball caps. So, we can write this as another equation: S = 6C.
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Now we can substitute the second equation into the first one to solve for C. Replacing S in the first equation with 6C gives us: 3(6C) + 6C = 192, which further simplifies to 24C = $192.
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Solving for C, we find that C = 8. So, each baseball cap costs $8.
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Substituting C = 8 = 48.
Therefore, the cost of 1 soccer ball and 1 baseball cap is 8 = $56.
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