Question

Reid and Maria both play soccer. This season, Reid scored 4 less than twice the number of goals that Maria scored. The difference in the number of goals they scored was 6. How many goals did each of them score?

Answer 1

Let Maria scored x number of goals and Reid scored y number of goals. Then,

`y=2x-4`

The difference between Reid and Marry goals is 6. So,

`y-x=6`

Substitute the expression for y in the equation and solve for x.

`\begin{gathered} 2x-4-x=6 \\ x=6+4 \\ =10 \end{gathered}`

Substitute 10 for x in the equation y = 2x - 4 to obtain the value of y.

`\begin{gathered} y=2\cdot10-4 \\ =20-4 \\ =16 \end{gathered}`

So Mary scored 10 goals and Reid scored 16 goals.