Tim is sitting on a seesaw. He is balancing Max and Fan on one end. If Tim weighs 68kg, what is Fan’s weight if Max’s weight is 1/4 of Tims’.
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Let's solve this seesaw balance problem step by step. Tim weighs 68 kilograms and sits on one side of the seesaw. On the other side, Max and Fan sit together. For the seesaw to balance, Tim's weight must equal the combined weight of Max and Fan.
First, let's find Max's weight. The problem tells us that Max's weight is one-fourth of Tim's weight. Since Tim weighs 68 kilograms, we multiply 68 by one-fourth, which gives us 17 kilograms. So Max weighs 17 kilograms.
Now let's find Fan's weight using the balance equation. For the seesaw to balance, Tim's weight must equal the combined weight of Max and Fan. We substitute the known values: 68 equals 17 plus Fan's weight. Solving for Fan's weight, we get 68 minus 17, which equals 51 kilograms. Let's verify: 17 plus 51 equals 68, which confirms our answer is correct.
First, let's find Max's weight. The problem tells us that Max's weight is one-fourth of Tim's weight. Since Tim weighs 68 kilograms, we multiply 68 by one-fourth, which gives us 17 kilograms. So Max weighs 17 kilograms.
Now let's find Fan's weight using the balance equation. For the seesaw to balance, Tim's weight must equal the combined weight of Max and Fan. We substitute the known values: 68 equals 17 plus Fan's weight. Solving for Fan's weight, we get 68 minus 17, which equals 51 kilograms. Let's verify: 17 plus 51 equals 68, which confirms our answer is correct.
Let's summarize our complete solution. In step one, we found Max's weight by calculating one-fourth of Tim's weight, which gave us 17 kilograms. In step two, we used the balance equation to find Fan's weight: 68 minus 17 equals 51 kilograms. Therefore, Fan weighs 51 kilograms. We can verify this is correct because 17 plus 51 equals 68, confirming the seesaw is perfectly balanced.