A sum of money is shared between Karen and Matthew if Karen receive 150 less than Matthew write an expression in x to represent Matthew and karen share

1 answer

Let's denote the amount of money that Matthew receives as \( x \).

Since Karen receives 150 less than Matthew, we can express the amount Karen receives as:

\[ x - 150 \]

So, the expressions representing the amounts received by Matthew and Karen are:

  • Matthew: \( x \)
  • Karen: \( x - 150 \)

Thus, if we want to express the total amount of money shared between them, it would be:

\[ x + (x - 150) = 2x - 150 \]

In summary:

  • Matthew's share: \( x \)
  • Karen's share: \( x - 150 \)
  • Total amount shared: \( 2x - 150 \)