james is 3kg heavier than marc and ben is thrice heavier than marc the total mass of 3 boys is 118 kg. what is ben mass

Let the mass of Marc be denoted by \( x \) kg.

- James is 3 kg heavier than Marc, so his mass is \( x + 3 \) kg.
- Ben is three times heavier than Marc, so his mass is \( 3x \) kg.

The total mass of the three boys is given as 118 kg, so we can write the equation:

\[
x + (x + 3) + 3x = 118
\]

Simplify the equation:

\[
x + x + 3 + 3x = 118
\]

\[
5x + 3 = 118
\]

Subtract 3 from both sides:

\[
5x = 115
\]

Now, divide by 5:

\[
x = 23
\]

So, Marc’s mass is 23 kg. Ben’s mass is three times Marc’s mass:

\[
\text{Ben's mass} = 3 \times 23 = 69 \, \text{kg}
\]

Thus, Ben's mass is **69 kg**.

Do you want more details or have any questions?

Here are 5 related questions:
1. What is James's mass based on this information?
2. How would the total mass change if Ben was twice as heavy as Marc?
3. If Marc gained 5 kg, what would the new total mass be?
4. What would the equation look like if James was twice Marc's mass?
5. How can this method be used to solve a similar problem involving four boys?

**Tip:** When solving word problems, start by defining variables for the unknowns. This helps set up the equations easily!

Learn how to solve a word problem where James is 3 kg heavier than Marc, and Ben is three times Marc's weight. The total mass is 118 kg. This problem involves key algebra concepts and solving linear equations. Suitable for students in Grades 6-8.

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