Question

Rachel Newton scored 26 points in a recent basketball game without making any 3-point shots. She scored 19 times, making several free throws worth 1 point each and several field goals worth two points each. How many 2-point field goals did she make?

Answer 1

She made 7 field goals

Explanation:

With the data we can make 2 equations

1 x + 2 y= 26

x+y=19 and y=19-x

Where,

x= free throws

y=field goals

Replacing y in the first equation

1 x + 2 (19-x)= 26

1 x + 38-2x= 26

1 x - 2x= 26 - 38

- 1x= -12

x=12

y=19-12

y=7