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Miko, Keddy and Sharko have 468 stamps altogether. Miko has 4 times as many stamps as Keddy. Sharko has 342 stamps more than Miko. How many stamps does Miko have?

Question

Miko, Keddy and Sharko have 468 stamps altogether. Miko has 4 times as many stamps as Keddy. Sharko has 342 stamps more than Miko. How many stamps does Miko have?

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Solution

Let's denote the number of stamps that Keddy has as K.

According to the problem, Miko has 4 times as many stamps as Keddy. So, we can denote the number of stamps that Miko has as 4K.

The problem also states that Sharko has 342 more stamps than Miko. So, we can denote the number of stamps that Sharko has as 4K + 342.

We know that the total number of stamps that Miko, Keddy, and Sharko have together is 468. So, we can set up the following equation to represent this information:

K + 4K + 4K + 342 = 468

Solving this equation will give us the number of stamps that each person has.

First, combine like terms:

9K + 342 = 468

Next, subtract 342 from both sides of the equation:

9K = 126

Finally, divide both sides of the equation by 9 to solve for K:

K = 14

So, Keddy has 14 stamps.

Since Miko has 4 times as many stamps as Keddy, Miko has 4 * 14 = 56 stamps.

This problem has been solved

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