Question

Solve the given word problem.

In last week’s football game, Ralph scored 6 less than twice what Tommy scored. The sum of their scores is 30. How many points did Ralph and Tommy score individually?

Answer 1

In last week's football game, Ralph scored 6 less than twice what Tommy scored. The sum of their scores is 30. How many points did Ralph and Tommy score individually?

Solution:

Let Tommy scored $x$ scores, than Ralph scored $-2x - 6$ scores.

Sum of Tommy and Ralph scores is 30, so

$$\begin{array}{l} x + 2x - 6 = 30 \\ 3x - 6 = 30 \\ 3x = 36 \\ x = 12 \\ \end{array}$$

So Tommy scored 12 points and Ralph scored $-2x - 6 = 2 \cdot 12 - 6 = 18$ points

**Answer**: Tommy scored 12 points, Ralph scored 18 points