The number of chocolates Miko has is 37 of the number of chocolates James has.What is the ratio of the Miko's chocolates to the total chocolates?Express your answer in simplest form.
Question
The number of chocolates Miko has is 37 of the number of chocolates James has.What is the ratio of the Miko's chocolates to the total chocolates?Express your answer in simplest form.
Solution
To solve this problem, we need to understand the relationship between the number of chocolates Miko and James have.
Step 1: Let's denote the number of chocolates James has as 'x'. According to the problem, Miko has 37% of what James has. So, Miko has 0.37x chocolates.
Step 2: The total number of chocolates is the sum of what Miko and James have, which is x + 0.37x = 1.37x.
Step 3: The ratio of the chocolates Miko has to the total number of chocolates is therefore 0.37x / 1.37x.
Step 4: The 'x' cancels out in the ratio, leaving us with 0.37 / 1.37.
Step 5: To simplify this ratio, we can divide both numbers by their greatest common divisor. In this case, we can divide both numbers by 0.01 to get 37 / 137.
So, the ratio of the number of chocolates Miko has to the total number of chocolates is 37:137 in simplest form.
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