Chapter 4.6, Problem 11PPS

To determine

To find: The required number of field goals made

Answer to Problem 11PPS

The required number of field goals made in 2006 was 230.

Explanation of Solution

Given:

The number of field goals made in 2007 is 37 more than she did in 2006.

The total field goals are 497.

Calculation:

Let the number of field goals made in 2006 is x .

The number of field goals made in 2007 is 37 more than she did in 2006.

So, the number of field goals made in 2007 is x +37,

The total field goals are 497.

The obtained equation is as follows:

x +x + 37=497

The objective of the problem is to find the number of field goals she did in 2006, that is, the value of x.

Solve the equation for x

  $\begin{array}{l}x+x+37=497\\ 2x+37=497\\ 2x+37-37=497-37\\ 2x=460\\ \frac{2x}{2}=\frac{460}{2}\\ x=230\end{array}$

Hence, the required number of field goals made in 2006 was 230.

Conclusion:

Hence, the required number of field goals made in 2006 was 230.