There are blue and purple counters in a bag in the ratio 13:17There are 80 more purple counters than blue counters.How many blue counters are there? counters
Question
There are blue and purple counters in a bag in the ratio 13:17There are 80 more purple counters than blue counters.How many blue counters are there? counters
Solution
Let's solve this step by step:
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The ratio of blue to purple counters is 13:17. This means for every 13 blue counters, there are 17 purple counters.
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The difference in the ratio (17-13) is 4 units. According to the problem, this difference corresponds to 80 more purple counters.
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Therefore, 1 unit of the ratio corresponds to 80 ÷ 4 = 20 counters.
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To find the number of blue counters (which is 13 units), we multiply 13 * 20 = 260.
So, there are 260 blue counters.
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